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::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:fyyyyyqyyyYJ<j<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyj;j;
tV;B:;JZC:bKB::>^fAkjxh<Or;V:>b?B:<:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>^:N:
yyyxI:;Z:::::::^^;Z:j:vCSmlJ::::::::::OJ;Zy=J:B::::::f:^<>:N:Y<>D_mlVH
[KR<:;B:::::::JFNZ;N:<j:>:yayA:<::::::G:Gv:B:F:N:;j;<:CJ:nyyMyk=J>j>J?
>:Q:S:UJ:n;v;;JBB:]:_:a:c:wAyA::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::JHJ;fnZA[;JXkwyMEn^;B:GXtUl<@Z?BKaTMcTG<
jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r:aTXUeRYE
U@k<HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZ<OsyKI@NbL
yDxjZ<JtQNtQLtyR[xoZB>Hni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xY
gB@nAlj:F:=b:?b:?B:?j:@j:V:=J<R<CM:G:?j;A`<^Z@hAuc:Cr\\YVtIe:Cr\\::::J
:\\rVNZ>VKB;J:B:::::F:;b:<Z::::::::::jysyA:CZ:F:<jysy?:;:?V<^`<J`HZ:F:
MZ=nn;J;vK>:C:?R:=j<>Z:FZ<vyyyy:^:n_;F=E:]c:=B:<j<j?D:;B:E:Sb:DJJ]jCB:
Gc;YJHvyyuy;B:ULBB:;xy>ryyY;E<>r;B:QB:n>^;UTRcETcTX[US<JR<j<B:Mb:b:E:c
b:;W:[c;eJ:Vy<>Zx]:JBA:;B:DJ:<Kd`ppP@BBJq>:CJ:f_;j><J:<JSd:<j:<Z:FALj<
>:c:kkDjw;<:[V:=B:;J:D::::CB:f?=J<JrA:MJ:<JSZ:F:<jjB;E:c:cV:[Z:VYZ:JBA
J:>Z<b:;B>aTXDpql`;^Z:jP>:CB:>X=j>>:_c<B:=Z:fALj<JDD:Og:]B:;jw;<:[V:R:
DJ:fcN?^?[[S:CB:f?=J<Jr?Z:V\\:>Z:N@B:KZ:vfawfa;kNF?MJ<AJFC;Y^:n>^\\;fc
[_HjdPO>@j<@:L>jCX?l@::F<c\\_;:WmBZ\\wG@[=;:;::N<:Bw[r=I\\JOX>dni<<JtQ
>:<[=SJvk?cDr]<ZJBJcqZxQ^>\\IFBvExo\\RJY:<j:DJ;NZ:j:F:Aj:^:`JlB:=J;VJ^
Z@<Z<:::::>:j?[>:;j?:^;yayI:<J:JB<Z:VY[B:IZ:>:sg:<Z:FZ<bBaTXaEWEUUB:<j
P>:C:[q:<:;B:;::::::::::::::::::::::::::::::::::::::::::::::::::1:" }
{TEXT -1 30 "\nVervolgens gebruiken we dat  " }{OLE 1 3604 1 "[xm]Br=W
foRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::fyyyyyqyyyYJ<j<Jyky;:::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<
Or;V:>Z?B:<:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B:::::::SR:B:F:YLp
fF>:::::::::J?N:ry:>:<::::::E:c:;:?ja:[LsfFaMR>`:J:<:::::::>=?R:?Z:F:;
jysy;Z::::::J=JkH:<:=:?J:VZ:J<>:wyynYv:>;F;N;;j?J@<:UJ:n;v;;JBB:]:_:a:
wAyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::^=N:YYn[Q:FTfhZh>yI:^h\\PBER:PZ>WdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[
TRIUSamBPJd`ppPps<LaPpu<Lcxpp@PqF\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<p
Nd<l\\\\QtDqjN<KRBYSKYFKYSJ[Dw[r==tFcY?YRB[iA=DNcY?YRJ;BwEDwECwYfJyTJ>
<AtQ=\\IhbnQ_Y?cnyk;KB>bnyk;wiB_xJv[;O_Y_bYgbnye?kZxJ@@J:@Z;NZ<NZ<>Z<R
:=R:HZ;B;F;;X:DZ=PFAjGR<=Bj=B:>krj:@J:`:?B;GVIpM;>knJ:<Z;>Z:B:::::::::
=Z<B:;B::::::::::vYxy;J<j:B:yayQ:>:vo>JIE:Ks:;j:F;;r:cV:N:A^:>:CZ:NZ;F
:EJ:<j:Djyyyy=J<JQ@jFf:F`<F:<j<j?D:;B:E:Sb:;e:;D;a:Gc;YJHvyyuy;B:ULBB:
;xyVqyyyyAZ>jGD:QB:<JMJ@fc[_hb_ds?h_C:[m<B:Mb:<J:Dj<>:cb:wY:?qDjwEJkuI
<:[V:<Z:b:;B>cTTUUSZZ:WM:^:<jP@:MB:;B:_c<B:=B:<JV<JXDj<JD>j;^`=f<;jw?b
x]:JBA:<Z<:::J<jPF:C:[Y:F;;JSZ:F:<JT<J:Ij<<:c:QkDjw;<:[V:=J:>Z<:VH::C:
UK:^:>X=j>>:_;<j:B:?E:;v:<:c:KY:[Z:VYZ:JBAJ:b:DZJVdscRYEU@J<<:Uk:^:>X;
j>>:_c<B:=Z:fA;v:A>G;sq`:fdO?XER:BKZ:V<BU:::c\\_WH:jBZ\\wG@[=;:;:fBFF:
:[ZmZ[bA^xORJ;j\\:JBVB=\\IhBO[nyK;JB>B@ny\\^Jv[;O?x?yTKFBJ:@J;DZ<>:@Z;
r:@Z>j>>r;>Z<rZ?m;V=`j:F:>krZ;>ZCJ;L:p=L=;B:@j?<Z:n>^;yayI:>:>\\:B:qQB
v:<J:^q<J:<j:DZ\\VdsWhngfgK<jP>:C:[q:V:;B:;:::::::::::::::::::::::::::
:::::::::::::::::::::::::::5:" }{TEXT -1 120 " , d.w.z. dat er precies
 4 open plaatsen rechts van de 8 moeten overblijven (voor  getallen kl
einer dan 8).\n            " }{OLE 1 3608 1 "[xm]Br=WfoRrB:::wk;nyyI;G
:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::fyyyyyqyyyYJ<j<Jyky;::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:
ELq^H_mvJ::::::::gj<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<Or;V:>Z?B:<:ElrfH
=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B:::::::[R:<Z:j:vCSmlJ::::::::::OJ;
Zy=J:B::::::f:^<>:N:Y<>D_mlVH[KR<:;B:::::::JFNZ;N:<j:>:yayA:<::::::G:G
u:B:F:N:;j;<:CJ:nyyMyk=J>j>J?>:Q:S:UJ:n;v;;JBB:]:_:a:wAyA:::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::^=N:=cncAmQ:
vnRG<yAj<@Z?>Z>WdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPps<LaPp
u<Lcxpp@PqF\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<pNd<l\\\\QtDqjN<KRBYSKY
FKYSJ[Dw[r==tFcY?YRB[iA=DNcY?YRJ;BwEDwECwYfJyTJ><AtQ=\\IhbnQ_Y?cnyk;KB
>bnyk;wiB_xJv[;O_Y_bYgbnye?kZxJ@@Z;R:?b:?b:;b:@j:@Z=R:L:OR:;R<CM:O:AfR
dj;V=hj:N:KFHFZ;>ZC:?B;GVIpM;>knJ:<x;tB<::::::::=B:;b:;B:;B::::::::::v
Yxy;J<j:B:yayQ:>:nx>jZEZ:^_=B:=j><Z=nl;B:?j<C:;J<B:?R:=j<>:=b:yyyyI:C:
WS:mj<jRDj:B:E:Qb:>Z:f:^[<>j<>j>V<<JMTjA^=yyyxY:<j`><<JZyIKwyyyy;D;>_<
j?<Z:n>^;UTRcETcTX[US<Jjf:<j>DZ:>Z<f:^\\<V^<VYe:qi:?sy>Z:JBAZ:B:DJ:<Kd
`ppP@BBJq>:CZ:f_;j><J:<JSd:<j:<Z:>a:^q;f:^<;X:[t:eJ:VY;byB:>l;Z:b::::^
:f?=J<JrA:MJ:N@B:=Z:^`:B;E:c:KkDjw;<:[V:=J:>Z<:::J<<Z:f?;J<JrG:MJ:N@B:
=Z:NFLj<JDJlAJB>Z:VYZ:JBAJ:b:DZJVdscRYEU@J<<:Uk:^:>X;j>>:_c<B:=Z:fALj<
?:G;;R:UTRc=fdO_XER:BKZ:V<BU::jB^DP@W<JqF<bRY]KrJ:J::E<==KjQ:><H=@\\XJ
tQ[;?:E<:[j[FBxr\\N?LyA?:[JZRJyEL<kA@NOrQve?kZ:;R:?b:DJ:R:@Z=Z>J?>:CE:
j;c<J:hj:J>]==R:;R<J;L:ZnJ:<HQZ:n>^;yayI:>:>\\:B:qQBv:>:sg:>Z:FZ<bBaTX
aEWEUUB:f?;J<JrG:AJ:<J::::::::::::::::::::::::::::::::::::::::::::::::
:::::::3:" }{OLE 1 3612 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyy
yy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::fyyyyyqyyyYJ<j<Jyky;::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::g
j<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<Or;V:R;<Z:j\\FHemj^HMmqnG;KaFFJufF>
::::::;K;vyyuy:>:<::::::JP@:<:=ja^GE=;:::::::::N;?:xI:;Z::::::j<JDJ:J;
vCJbNHEms>@[C:>Z::::::::kJ;@J;B:=J:vYxY:B::::::n:>l=Z:j:J;>:AB:^:;JyyI
wAI:K:MJ:N;;j?J@j@>:W:YJ:><<jBJCjCJDJyky;:::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::^=N:EGr[R:^QVyyn<oS:B=il<@Z?B
KaTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r:
aTXUeRYEU@k<HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZ<O
syKI@NbLyDxjZ<JtQNtQLtyR[xoZB>Hni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdv
e>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=J<R<CM:G:?B;Gfn=cq?j;A`<jXfa<^ZExk
cyf<^ZE<:;B\\kK;Lj?[>:<Zsb:C:^:B:\\M:DJ:<Z::::=J:D:<::::::::::yayY:^:<
j:B:yayQ:>:VbFJTD:gt:F:MZ=Vo;J;VL<J:^:NZ;F:EJ:<j:Djyyyy=J<JQ@jFf:F`<FZ
:B:E:Qb:>Z:f:^[<b:;s<aJ:n^@v;sjyyiyAZ:fC[Z:>ryMZyyy?vDJZAZ:V[:JMJ@fc[_
hb_ds?h_C:[C:EZ:F[<Z<f:^\\<>n;^m@f<;jwEJ:tI<:[V:>Z:b:;B>cTTUUSZZ:WM:^:
;jP@:OZ:N`DZ:N:;JV`MDDZ>f:;JDJtDjD<:qAB:>L=B:;B:;b:<;::J<jPF:C:[Y:F[:>
Z:N@B:=B:<jj>Z>f:^<>_:>\\:>Z:VYZ:JBAJ:b:DJ:<kc`a\\wgfS:CB:f?;J<<:[q:N;
N`DZ:N:;JiqMNIZ>f:^\\<JmMjB>Z:VYZ:JB[;b:;B>UDO;SKRR@J<<:Uk:^:>X;B:_B:;
JSZ:v:<jmXpmX@<JF?McU:kN<AJF?Z>VL<JMJH@j`@Pt:eTO[R:ER:PZ>;V<BU::jB^DP@
:nG]:DpqR>H>:>::JC>;vKBw[j]BN_A[DweZ:RKZY[JrJ@>YVKd<cy]<ZJBJFby?C[r==<
y\\YgB@>B:=b:?J;<:=j:V:=J<R<C==J;LJ=EwJ:jX:b:::;JVB;Q>L:B:`=:C:<Zr>Z<V
;:Sjysy=Z:>:>\\:B:qQB<j=B:;JXEZ:B:=b:Dlc`qsLqlp@CB:<jP>:C:[q:<:;B:;:::
:::::::::::::::::::::::::::::::::::::::::::::3:" }{TEXT -1 20 "\nen da
n\n            " }{OLE 1 3612 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:
F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::fyyyyyqyyyYJ<j<Jyky;::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ:::
:::::gj<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<Or;V:>Z@Z:j\\FHemj^HMmqnG;KaF
FJufF>::::::;K;vyyuy:>:<::::::Jb@:<:=ja^GE=;:::::::::N;?:xI:;Z::::::J=
JDJ:J;vCJbNHEms>@[C:>Z::::::::kJ;@J;B:=J:vYxY:B::::::v:N\\>Z:j:J;>:AB:
^:;j<>Z:nyyMyK>j>J?>:Q:S:UJ:n;v;;JBB:]:_B:V<^<f<n<;jEJyky;::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::^=N:EGrcS:^QVy
yn<kS:B=il<@Z?BKaTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc
_whZNdigg[oG]r:aTXUeRYEU@k<HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@lQPnAMn
Q@NbLYBxj]xoZ<OsyKI@NbLyDxjZ<JtQNtQLtyR[xoZB>Hni@>YVKciDyDLcy]=D:<[:_x
IHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=J<R<CM:G:?j;E`DV:qZ
EF:?J>Y==R:;R<C=?B;GVIpM;>kob:CJcALiEZ=HF?B;p=Lj?yrnYP;>kqb:Cr\\:kK;L:
B;Q><Zsb:C:^:B:`H<::::::::=B:;b:;B:<::::::::::yayY:^:<j:B:yayQ:>:>jKB:
=h:<JfI:=j><Z=^w;B:?jL=Z:>:C:?R:=j<>:=b:yyyyI:C:WS:mj<jRDj:<Z:f:V[<J:<
j<J@DJ:EJjyjC>Z:n^@v;sjyyiyAZ:fC[J:<JZyIKwyyyy;w=>_<j?<Z:n>^;UTRcETcTX
[US<Jj<j<B:Mb:<J:Dj<JDDjKDJ;@jDjwEJKxI;B:>l;B:<Z<>ZJ^dcgg_;<<nG;J<jP@:
MB:;B:_c<B:=B:<jU^q;f:^<;X:Wt:eJ:VY;byB:>l;Z:b::::^:f?=J<JrA:U:_;<J<jT
XMV`M>UJ<AJDDZ>f:^<>_:f<VYZ:JBG:;B:;b::a=:J<jP>:C:[q:N;N@B:?J:Nf[on@B;
E:c:_Y:[B:<jw;<:[N:>Z<b:<kc`a\\wgfS:CB:f?=J<Jr?:SB:;B:_c<B:AB:faXiA[f:
Kw:Lj<JDD:;T<]B:<jw;<:[>@Z<>:UDO;SKRR@J<<:UK:^:>X=JB<J:<JSZ:n:<jmXpmX@
cV:cU:kN<A:;B;E?G;;T:UTRcMdRSeTOcS:ER:BKZ:V<BU:::c\\_;:WmBZ\\wG@[=;:;:
:N<KjQ:LYBvB<OsKbLyDB:P>rQB>H^;kAQ^dJtyb:B><>=tYKLBxjZ:xo\\RJj:<j:DJ;N
Z:N:=j:V:=J<R<CM:G:?j;E`D:hj:J>Y]:FZ;>ZC^FNZ>nJB:P=Nt[:=]>RIB;J;<Zqb:h
BJV:B;Z:RH^:J<Z:RtQZ::Sjysy=:;:[B:<jw?\\:v:<J:^q<Z:FZ<bBaTXaEWEUU^Z:B:
Uk:^:>X;j;>Z:>::::::::::::::::3:" }{TEXT -1 244 "\netc. Het voordeel v
an het van achteren af reconstrueren is dat er niet meer met de al bep
aalde posities van 9, 8, 7 etc. geschoven hoeft te worden, terwijl, al
s we vanaf de voorkant  werken, na het verwerken van de informatie in \+
bij voorbeeld " }{OLE 1 3612 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F
:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::fyyyyyqyyyYJ<j<Jyky;:::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::
::::gj<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<Or;V:R;<Z:j\\FHemj^HMmqnG;KaFF
JufF>::::::;K;vyyuy:>:<::::::J^@:<:=ja^GE=;:::::::::N;?:xI:;Z::::::J=J
DJ:J;vCJbNHEms>@[C:>Z::::::::kJ;@J;B:=J:vYxY:B::::::v:^f=Z:j:J;>:AB:^:
;j<B:wyynY>;F;N;;j?J@j@>:W:YJ:><<jBJCjCJDJyky;::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::^=N:EGrSS:^QVyyn<gS:<ZFv
DER:PZ>WdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPps<LaPpu<Lcxpp@
PqF\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<pNd<l\\\\QtDqjN<KRBYSKYFKYSJ[Dw
[r=ItQ=DN_yAwRJ[Dwer==D:cYKcYCcy]?tQ=\\JrJyTJvk?_xdveB_xIHb:B><NtyrZxQ
^LYBxjZdliLniPNtyo\\RJYB==j:FZ<NZ<NZ:N:=R:=j;F:CZC^F;n:N:AfRdj;V=hj:N:
KVF<j:@J:dJ;NjfR<C=?j;;:?J>E==:::A>:J>I]:F::<Z;>xcZ::::::::::=B:;b:<J:
<::::::::::yayY:<J<B:=Z:vYxY;J:JwT:=h:<JOHZ:F:MZ=fl;B:?jJC:;J<J;@j:f:;
B:=b:yyyyI:C:WS:mj<jRDj:<:E:Qb:>Z:f:^[<>j<>v?V<<JMTjA^=yyyxY:<j`><;B:;
xy>oyyyyAn?JNDJ:V[:B:G;Sj`@Pt\\Pd`QrP`:>f:fZ:B:Mb:<J:Dj<JDDjKDjpg<Vy<N
^yM:<:[V:<Z:b:;B>cTTUUSZZ:WM:^:f_;J@<J:<JSd:<j;<J:F`lV@wX:KY:sW:E:cJZA
Jr@jDjw?jx]:JBK:<Z<:::J<jPF:C:[Y:^;N@B:A:SCESkqAjjAZ=fZ:JDJN<jDjw?Zx]:
JBG:;B:;b::a=:J<jP>:C:[q:^;N@B:A:?eR?M]AjqAJ:LjJC:G;kS:UTRc=PpdPOP@j<@
Z?BKZ:V<BU:::c<:JqF<bRYEUrJ:J::E<==K:ZnA<I\\JOX>dni<<Z?;ZJrJ@>YVKd\\B_
xID:<[:kZxQ^>\\IFBZYgB@>B:=b:?J;<:=j:VZ:F:CB:`Jlj:<J;VJd:qZEF:>kkB:=R:
;b<BE`:N:A>:N:KfF<j:::j;;:>kmj::B:;R:[YDQZ:n>^;yayIZ:>Z:>:>\\:B:qQBv:>
:sg:>Z:FZ<bBaTXaEWEUU^:<jPF:C:[Q:V:;B:;:::::::::::::::::::::::::::::::
::::::::::::::1:" }{TEXT -1 24 "we slechts weten dat in " }{OLE 1 
3100 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyq
yyyYJ<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R
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::::::JpK:j:vCSmlJ::::::::::OJ;Zy=J:B::::::^:;JDJ:J;vCJbNHEms>@[;;B:::
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>:W:wAyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::JHJ;fnZAT<JXkwyME^e;jDxtofZ;R;LncpNdP]:V\\QGghGbf_g<GfmGg]
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v:>:sg:<Z:FZ<bBaTXaEWEUUB:f?AJ<JrGZ:J:<J::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::1:" }{TEXT -1 13 ". Hie
r dus   " }{OLE 1 3604 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyy
y]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::fyyyyyqyyyYJ<j<Jyky;:::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj
<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<Or;V:>j>B:<:ElrfH=MtFGYMq>>Wlj:gmlJ:
:::::>>?jyyiy=J:B:::::::cR:B:F:YLpfF>:::::::::J?N:ry:>:<::::::EJ:^\\:J
:J;vCJbNHEms>@[C:>Z::::::::kJ;@J;B:=J:vYxY:B::::::n:Nt<Z:j:J;>:AB:^:ny
yMyk=J>>:M:OJ:V;^;f;;JAjA>:[Z:F<nYvY::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::s:?jqAWvkbkt<tLVY^h\\PBER:PZ>Wd
G_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPps<LaPpu<Lcxpp@PqF\\=Vds
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>YRJO;ve?kZZ;>Z;NZ<b:;Z;Z=Z>j><JZ?Z<bZKK;>ksJ<V?B\\]K;NjcJ:v?>klb:CjX:
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::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::3:" }{TEXT -1 74 " , het aantal runs is dus gelijk aan (en niet
 groter dan) de verwachting.\n" }{OLE 1 3604 1 "[xm]Br=WfoRrB:::wk;nyy
I;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::fyyyyyqyyyYJ<j<Jyky;:::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H
;C:ELq^H_mvJ::::::::gj<vyyuyj;j;tV;B:;JZC:bKB::>bG@ljxh<Or;V:>Z?B:<:El
rfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B:::::::[R:<Z:j:vCSmlJ::::::::::
OJ;Zy=J:B::::::f:^<>:N:Y<>D_mlVH[KR<:;B:::::::JFNZ;N:<j:>:yayA:<::::::
G:Gu:B:F:N:;j;<:CJ:nyyMyk=J>j>J?>:Q:S:UJ:n;v;;JBB:]:_:a:wAyA::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::^=N:YYncA
]@eEbEkI@:wbpSl<@Z?BKaTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_
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;JXEJ:B:=b:Dlc`qsLqlp@<Z:f?;J<JrG:AJ:<J:::::::::::::::::::::::::::::::
:::::::::::::::::::::::5:" }{TEXT -1 16 " (de lengte van " }{OLE 1 
3100 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyq
yyyYJ<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R
<:T><::;T][FfieJ?X:A:;B;<Z:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<
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::::::::::::JHJ;fnZaU^QVyyn<WV:RUum<@Z?BKaTMcTG<jCXontpZlPpDnjHqnHp[xP
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;FZ:J:<J::::::::::::::3:" }{TEXT -1 20 ", de eerste run van " }{OLE 1 
3104 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyq
yyyYJ<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R
<:T><::;T][FfieJ?X:A:;x:<Z:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<
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>:W:wAyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::JHJ;fnZAT<JXkwyMENe;jDxtofZ;R;LncpNdP]:V\\QGghGbf_g<GfmGg]
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?=J<JrA:AB:;B:;::::::::::::::::::::::::::::5:" }{TEXT -1 71 ", is 2) e
n dit is groter dan verwacht volgens een andere stelling. Met " }{OLE 
1 3100 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyy
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::::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:
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vuld:\n" }{TEXT 273 11 "Stelling:  " }{TEXT -1 12 "\n           " }
{OLE 1 4628 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:
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{TEXT -1 5 " (en " }{OLE 1 3100 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>
N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::fyyyyyqyyyYJ<Jyky;::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:
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<B\\_[;F::<Z>nj?Q^QQZ>nJ:>Z;J:HB::W];F::<:@@:J>A]:FZ;j>:;B:=::DZ=<:DZB
P@F:`:B:;R::J;L:Z:::D::;::N::<::b:;rZ::nGF:`:B:;R::>Z:Bb<J::::=Z<B:;B:
:::::::::vYxy;J<B:=Z:vYxY;J:J[<;OY><ZB:MZ=B;^:aR:;B:<J<>Z:NZ;F:EJ:<j:D
jyyyy=J<JQ@jFf:F`<F:f:V[<Z:f:^[<>bJ>rHV<n^@v;sjyyiyAZ:fC[Z:>rymRyyyyY:
u:]y=V[:B:G;Sj`@Pt\\Pd`QrP`:>v=F;<JwE:aB:;J:b:?C:C:US:f:<JDDJwDJZf:V\\
<Ni<NfHf:^<oG;;l<jCNq>NfHf:^<oi;;D:E:aJwUJktj<JDNqG>BjCNqGNfHf:^<Iy=;l
<jCvvINfHf:^<Yl;Ej<jCFxIVj<f:^<fi?f:V<fi?f:^<vhBf:V<vhBf:^<FhEf:V<FhEf
:^<>eHf:V<>eHf:F[<J:Dj<JDN]<v^>f<Vy<N^yM:<:[V:<J:<Z<>ZJ^dcgg_;iEBJq>Z:
^:f?=J?<Z:N`DZ:N:;jRDmxEJXAj<JDNe>f_;f\\:jw;<:[><Z<B>:::C:UK;^:>x;F:MJ
:N@B:=B:F`:^q;f:^<of;[S:e:qAB:>l;>:<Z<:::J<jPF:C:[Q;<j>>:_;<j:JS<JXA:^
<iW:=nD<:qQ:tI<:[V:B:D::::C:UK;^:>X=j>>:_c<B:=:O[>f:;JDN=gR=e:qQKZ:JBA
j:>:;b::::^Z:jPF:C:[Q;F;;JSJ:<j:Jq^q;:cJGyJQ@jDjw;<:[V:>:;b::::^:f??J<
JrG:MJ:N@B:=:W=JDvPMt:e:qQ:Z:JBA:;J:D::::C:Uk:^:>X?J@>Z:N@B:AJ:<jj@pjf
v<Nx?B;E:cjuIjaf<VYZ:JBK:>Z<:::J<jPN:C:[q:F;;JSZ:F:Ff:>Z>f:^<ic;okDjw;
<:[V:>Z:>Z<:::J<<:Uk:^:>X?j>>:_;<j:jjB;E:cZI>Ae:qAB:>l;J:<J:D::::CB:f?
?J<JrG:MJ:N@B:=:=]>f:^<ioK`JBB:qAB:>l;>:;b:DZJVdscRYEU@J<<:Uk:^:>X?J@J
Sd:<j;jeYwe_KSN:L:^\\<vhBFRMJ:N@B:=:iH:L:^<ig<=p>JSZ:F:vT:cjumjZG;N@B:
=:i@aR:;B:G;sb:UTRc=PpdPOBDj<@Z?BKZ:V\\Q[f;:@@a=c\\_;:F<bRY]KrJ:J::E<=
MC>;:[LBrFRBt;cY?@N:Ly\\:JBVB=\\IhBO;YN:><;Dw@ny\\^Jv[;O?jiP>=<>Z;NZ<b
:;Z;R:HZ;B;F[^[;R;@:BNcl:N:?>=J;Vj[c<A:hj:N:KVF<j:@J:<j>:;Z=<:DZBP@;R:
=:Z:B;N>?::>Z;J:HB::W];F::<:@@:J>A]:FZ;j>:;B:=::DZ=<:DZBP@F:`:B:;R::J;
L:Z:::D::;::N::<::b:;rZ::nGF:`:B:;R::>Z:BbQZ:n>^;yayI:>:F[:JwK:<:JK^:<
jPN:[B:<jw?\\:v:<J:^q<Z:FZ<bBaTXaEWEUU^Z:jPV:C:[q:V:;B:;::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::5:" }{TEXT -1 30 " Dus
, met de productregel (of " }{TEXT 271 14 "opgave 1.8.(a)" }{TEXT -1 
52 "): Het totale aantal mogelijke binaire operaties op " }{OLE 1 
3088 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyq
yyyYJ<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R
<:T><::PuF=uuDN[Aj;JZIZ:B:fB]mtFFcmnvGWMJnC==nHE=;:::::JJN:yyyxI:;Z:::
::::>W>:F:YLpfF>:::::::::J?N:ry:>:<::::::C:c:;:?ja:[LsfFaMR>@>Z:::::::
:kJ;@J;B:=J:vYxY:B::::::f:;B:Gd:B:F:N:;j;<:wyynYn:v:>;F;N;;j?J@>:UJ:n;
nYvY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::s:?jqAW`K_A:IbuiObAJ::ER:PZ>WdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[
TRIUSamBPJd`ppPps<LaPpu<Lcxpp@PqF\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<p
Nd<l\\\\QtDqjN<KRBYSKYFKYSJ[Dw[r==tFcY?YRB[iA=DNcY?YRJ;BwEDwECwYfJyTJ>
<AtQ=\\IhbnQ_Y?cnyk;KB>bnyk;wiB_xJv[;O_Y_bYgbnye?kZxJ@@J:@Z;NZ<NZ<>Z<R
:=R:HZ;B;F;;X:DZ=HB;B:;::::F:;b:<J:<::::::::::yayY:^:<j:B:yayQ:>:NSfw;
J@D:=j>>Z=nZ;B:?jrB:;J<J;@j:f:;B:=b:yyyyI:C:WS:mj<jRDj:j<j?D:;B:E:SJZA
JJAjCJMTjA^=yyyxY:<j`><<JZyIcwyyyy;U:<Jt@:QB:;JMJ@fc[_hb_ds?h_C:;C:EZ:
F[<J:Dj<JDDJ:AJhf<Vy<>bx]:JBAj:<J:<J:DJ:<Kd`ppP@BBJq>:C:US:F[:>Z:N`DZ:
FZ:B:=L:Ijr<:G;kp`@@jdPO`gZ;Z>;<jCZf;::^D::F<bRYEUrJ:J::E<==v?:[r=H=@
\\XJtQ[;?:E<:[j[FBxr\\N?vK;JB>B@ny\\^Jv[;O?jiP>=<>Z;NZ<b:;Z;R:H:L:MJZc
:HBV;n>^;yayI:>:>\\:B:qQBvZ:J:^q<J:<j:DZ\\VdsWhngfgK<B:Uk:^:>x;j;<J:<J
:::::::::::::::::::::::::::3:" }{TEXT -1 16 " is  gelijk aan " }{OLE 
1 3604 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyy
yqyyyYJ<j<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyj;j;tV;B:;
JZC:bKB::>^PGnjxh<Or;V:>r>Z:j\\FHemj^HMmqnG;KaFFJufF>::::::;C:?jyyiy=J
:B:::::::cR:B:F:YLpfF>:::::::::J?N:ry:>:<::::::EJ:^\\:J:J;vCJbNHEms>@[
C:>Z::::::::kJ;@J;B:=J:vYxY:B::::::n:n]=Z:j:J;>:AB:^:nyyMyk=J>j>J?>:Q:
SJ:f;;JAjA>:[Z:F<N<nYvY:::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::^=N:YYnkA]@eEbEka@:]cy_m<@Z?BKaTMcTG<jCXontpZ
lPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r:aTXUeRYEU@k<HnqP
Qs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxjZHMtQkA@LrukZ<OtQkA@N:
Ly\\LyLLyAEni@>[j[xoZr]EDwOsQKDwYVJ><;DwYVJyELcI>YRJOsQCtQEDwyTKFbI^[;
>Z;R:?b:?b:;b:@j:@Z=R:L:MBS<f;b:HRqV:sZCR:;p:@:?::NZ:AZ;:\\RSB:;::::::
::FZ:>Z<B:<::::::::::yayY:^:<j:B:yayQ:>:fl=J>H:Ci:F:MZ=Nh;J;vJ>:C:?R:=
j<>Z:FZ<vyyyy:^:n_;F=E:]c:=Z:f:V[<J:<j<J@DJZEJZHjCB:Gc;YJHvyyuy;B:ULBB
:;xyFnyyyyAZ=B:=e:<j?<:G;Sj`@Pt\\Pd`QrP`:>@EZ:F[<J:Dj<>:cb:]T:Qc:e:qi:
yfy>Z:JBAZ:B:DJ:<Kd`ppP@BBJq>:C:US:F[:>Z:N`DZ:FZ:B:_C:?h:E:cJTAjh@jDjw
Ofx]:JBAj:<J:>Z<:::J<jPF:C:[Y:F;;JSd:<j:B:WMXHj<JD>f<v@e:qQZqI;B:>l;J:
>Z<:BB::C:UK:^:>X=j>>:_;<j:B:WM:Mj=?:G;CR:UTRc=fdO?YER:BKZ:V<BU:::c<:J
qF<bRYEUrJ:J:@K<j\\jjJ>:JBrFRBt;cY?@N:fB:><AlZr]ELOjA?:[JZRJyEL<kA@NO:
yTKFBJ:@J;DZ<>:@Z;r:@Z>j>LP:R:DZ=<sJ:`Z;B:=R:N::J;R:ZB\\:>:V;n>^;yayI:
>:>\\:B:qQBv:>:sg:B:=b:Dlc`qsLqlp@CZ:f?=J<Jr?:AB:;B:;:::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::1:" }{TEXT -1 2 ".\n
" }{TEXT 262 12 "Tweede deel:" }{TEXT -1 34 " Bij een commutatieve ope
ratie * [" }{OLE 1 3600 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyy
yy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::fyyyyyqyyyYJ<j<Jyky;::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::g
j<vyyuyj;j;tV;B:;JZC:bKB::>^PGnjxh<Or;V:>r>Z:j\\FHemj^HMmqnG;KaFFJufF>
::::::;C:?jyyiy=J:B:::::::SR:B:F:YLpfF>:::::::::J?N:ry:>:<::::::EJ:^<>
:N:Y<>D_mlVH[KR<:;B:::::::JFNZ;N:<j:>:yayA:<::::::G:gr:B:F:N:;j;<:C:wy
ynYv:>;F;N;;j?J@<J:f;;JAjA>:[Z:F<N<nYvY:::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::^=N:YYn[Q:Ns;j=txU_u;JklVYgZ;
R;LncpNdP]:V\\QGghGbf_g<GfmGg]Wbi_f_?d[wf_WH]R;cTTUUSaEBWTSiEB_tUUURWm
BHjc`qpDpql`KfZ=wgoOhcgfl?^HgF;R>CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IFbm
^xOv[[>xXFbJ_xOv[;?Znibni^nyk<we;KBVbYGBxr\\LYOxO^LyAA>[JZLyAAny\\Nt=k
A@NOxO\\xo\\LyiP>=t=SR:;R:@J;DJ;DJ:DZ;FZ;r:@Z>j>L`:T:`Z:Q:AFXDJ:DRON:A
VX;b:Cb[ukXDZ=\\:NJrZkM:<J:::::::::j:>Z<B:;B::::::::::vYxy;J<B:=Z:vYxY
;J:jt]:qe:;JhE:=j>>Z=ng;J;Vj:J:^:NZ;F:EJ:<j:Djyyyy=J<JQ@jFf:F`<F:<j<j?
D:;B:E:Sb:;d:;C<a:Gc;YJHvyyuy;B:ULBB:;xyVqyyyyAvAjwA:QB:n>^;UTRcETcTX[
US<Jjf:<j>D:Dj<JDDJ:AJX@jDjwEJZtI<:[V:<J:<Z<>ZJ^dcgg_;<<nG;J<>:US:N;N`
DZ:N:;JOdlZMJ:Ij<<:c:WlDjw;<:[n:<J:<J:DZJ:a=:J<jPF:C:[Y:f;N@B:C:kUXmEX
qb:yf:Ub:;v:EB:^<Nl=><<jw;<:[N:>Z<b:<kc`a\\wgfS:CB:f?;J<JrG:MJ:<JSd:<j
:<Z:fA;v:A>G;sq`:fdO?XER:BKZ:V<BU:::c\\_WH:jBjpDpqR>H>:>:j\\jj::><H=@
\\XJtQ[;?:E<:[j[FBxr\\N?vK;JB>B@ny\\^Jv[;O?jiP>=<>Z;NZ<b:;Z;R:H:L:MBSR
:`Z:m;]Q:DZ<L;Vjs?:C::<J;[=@I;B:Q:G;Sjysy=:;:[B:<jw?<IB:<J:^q<J:<j:DZ
\\VdsWhngfgK<B:Uk:^:>X;j;<J:<J::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::3:" }{TEXT -1 139 "] is de tabel symmetrisc
h in de diagonaal en is de onderdriehoek al bepaald ( door de bovendri
ehoek). Het aantal commutatieve operaties op " }{OLE 1 3088 1 "[xm]Br=
WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyqyyyYJ<Jyky;::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R<:T><::;cO=Gfie
J?X:A:;x:<Z:j\\FHemj^HMmqnG;KaFFJufF>::::::;C:?jyyiy=J:B:::::::KA;:=ja
^GE=;:::::::::N;?:xI:;Z::::::J<JDJ:J;vCJbNHEms>@[;;B:::::::JFNZ;N:<j:>
:yayA:<::::::EJ:<J]D:<:=:?J:VZ:JyyIwAG:I:K:M:OJ:V;^;;j@>:W:wAyA:::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JHJ
;vwKaSNs;j=txUOt;:fZ;R;LncpNdP]:V\\QGghGbf_g<GfmGg]Wbi_f_?d[wf_WH]R;cT
TUUSaEBWTSiEB_tUUURWmBHjc`qpDpql`KfZ=wgoOhcgfl?^HgF;R>CRMcDBEDXceV=MC>
[[v_?wk>w_;?dnA\\IFbm^xOv[[>xXFbJ_xOv[;?Znibni^nyk<we;KBVbYGBxr\\LYOxO
^LyAA>[JZLyAAny\\Nt=kA@NOxO\\xo\\LyiP>=t=SR:;R:@J;DJ;DJ:DZ;FZ;r:@Z>j>>
r;b:HrZ>Z:>::::j:>Z<B:;B::::::::::vYxy;J<B:=Z:vYxY;J:J_kpA:Sb:F:MJ:HJ=
@Z:N:]]:>:C:?R:=j<>Z:FZ<vyyyy:^:n_;F=E:]c:=:E:Qb:>Z:f:^;;X:;W:a:Gc;YJH
vyyuy;B:ULBB:;xy^pyyyyAf;B:cU:V[:>:G;Sj`@Pt\\Pd`QrP`:>^:f:<j>D:;b:E:cb
:;V:slDjwEJZtI<:[V:=B:;B:;b:;B>cTTUUSZZ:WM:^:f_;j><J:<JSd:<j:<Z:FB;v:]
E:n>>UUTR:eTOSp<@:L>B:a:l@::Jd::jBZ\\wgf[=;:;:fBFFjQ:>\\IrFRBt;cY?@N:f
B:><AlZr]ELOjA?:[JZRJyEL<kA@NO:yTKFBJ:@J;DZ<>:@Z;r:B;F;;`<rZj?JMJ@vYxy
:J:JB<Z:VY[j=<:;JXE:;B:=b:Dlc`qsLqlp@CZ:f?=J<JrA:AB:;B:;::::::::::::::
::::::::::::5:" }{TEXT -1 9 "  is dus " }{OLE 1 3100 1 "[xm]Br=WfoRrB:
::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::fyyyyyqyyyYJ<Jyky;:::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R<:T><::;cO=GfieJ?X:A:;
x:<Z:j\\FHemj^HMmqnG;KaFFJufF>::::::;C:?jyyiy=J:B:::::::SA;:=ja^GE=;::
:::::::N;?:xI:;Z::::::J<JDJ:J;vCJbNHEms>@[;;B:::::::JFNZ;N:<j:>:yayA:<
::::::EJ:<J_D:<:=:?J:VZ:JyyIwAG:I:K:M:OJ:V;^;;j@>:W:wAyA::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JHJ;fnZAT<
JXkwyME>^<B:KIc;q<@Z?BKaTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcg
g_WhZnc_whZNdigg[oG]r:aTXUeRYEU@k<HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@
lQPnAMnQ@NbLYBxjZHMtQkA@LrukZ<OtQkA@N:Ly\\LyLLyAEni@>[j[xoZr]EDwOsQKDw
YVJ><;DwYVJyELcI>YRJOsQCtQEDwyTKFbI^[;R:@J;DJ;DJ:DZ;FZ;r:@Z>j>L`:T:DZ=
pGFaH\\::::=J:DZ:>Z::::::::::jysyA:CZ:F:<jysy?:;:IW:<J_A:[b:F:MZ=>[;B:
?js>:;J<J;@j:f:;B:=b:yyyyI:C:WS:mj<jRDj:B:EB:V[<J:<j<J@DJJAJ:AjCJMTjA^
=yyyxY:<j`><<JZyIGyyyyy;T:<J=AZ:V[:JMJ@fc[_hb_ds?h_C:[C:EZ:F[<Z<f:^\\<
>b;>Ae:qi:;byB:>L=B:;B:;b:;B>cTTUUSZZ:WM:^:f_;j><J:<JSd:<j:<Z:nG;B;aM:
<JMJhgC:eTO[H:ER:BKZ:V<BU:::c<::]:Dpql@H>:>:j\\jjN<:JBrFRBt;cY?@N:fB:>
<AlZr]ELOBwYN:><;\\;wiBC>YRJO;ve?kZ:;R:?b:DJ:R:@Z=R:L:MBS>:DZ=\\:FAQ:G
;Sjysy=:;:[B:<jw?<I:;JXE:;B:=b:Dlc`qsLqlp@CB:<jPF:C:[Y:VZ:>Z:>::::::::
::::::::::::::::::::3:" }{TEXT -1 124 "  tot de macht het aantal vrij \+
in te vullen vakjes. Dit aantal vakjes is precies het aantal herhaling
scombinaties van 2 uit " }{OLE 1 3100 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j
::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::fyyyyyqyyyYJ<Jyky;::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::_lqvGcMJ<j\\nGc
MsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R<:T><::;cO=GfieJ?X:A:;x:<Z:j\\FHemj^H
MmqnG;KaFFJufF>::::::;C:?jyyiy=J:B:::::::SA;:=ja^GE=;:::::::::N;?:xI:;
Z::::::J<JDJ:J;vCJbNHEms>@[;;B:::::::JFNZ;N:<j:>:yayA:<::::::EJ:<J_D:<
:=:?J:VZ:JyyIwAG:I:K:M:OJ:V;^;;j@>:W:wAyA:::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::JHJ;fnZAT<JXkwyMEN^<JnMTj
gZ;R;LncpNdP]:V\\QGghGbf_g<GfmGg]Wbi_f_?d[wf_WH]R;cTTUUSaEBWTSiEB_tUUU
RWmBHjc`qpDpql`KfZ=wgoOhcgfl?^HgF;R>CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\I
Fbm^xOv[[>xXFbJ_xOv[;?Znibni^nyk<we;KBVbYGBxr\\LYOxO^LyAA>[JZLyAAny\\N
t=kA@NOxO\\xo\\LyiP>=t=SR:@Z;NZ<NZ<>Z<R:=R:HZ;B;F[^CZ@Z<rZW=mc]B:::j:>
Z<B:;B::::::::::vYxy;J<B:=Z:vYxY;J:jMAZ:Ns;JBD:=j>r:KR:<J;VH;J:^:NZ;F:
EJ:<j:Djyyyy=J<JQ@jFf:F`<F:<j<<:Qb:>Z:f:^[<>n;>j;V<n^@v;sjyyiyAZ:fC[Z:
>ryMmyyyyYZ@Z:nj;B:QB:n>^;UTRcETcTX[US<JR<j<B:Mb:b:E:cb:;T:kkDjwEJ:tI<
:[n:<J:<J:DJ:<Kd`ppP@BBJq>:C:US:F[:>Z:N`DZ:FZ:B:WM:Ljs>Z:n>^UU<jdPOb=j
<@:L>B:a:l@::Jd::jBZ\\wgf[=;:;:fBFF_::><H=@\\XJtQ[;?:E<:[j[FBxr\\N?LyA
?:[JZRJyEL<kA@NO:yTKFBJ:@J;DZ<>:@Z;r:@Z>j>L@;Z<rZB:mk?JMJ@vYxy:J:JB<Z:
VY[j=J:^q<J:<j:DZ\\VdsWhngfgK<<Z:f?=J<JrA:AB:;B:;:::::::::::::::::::::
:::::::1:" }{TEXT -1 72 ", ofwel \n                                   \+
                            " }{OLE 1 4124 1 "[xm]Br=WfoRrB:::wk;nyyI;
G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::fyyyyyqyyyYJ<j<J=Jyky;:::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>
^:fBWMtNHm=;:::::::n<Ejyyiy=A:Abm?Z:>:;`:Z@[::JJToJ=uuDN[Aj;J:Y:<:Elrf
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>Z<>Z:B::::::::::vYxy;J<B:=Z:vYxY;J:JAt:gI;^f?>Z:F:MZ=Np<B:CjPK:^:;B:?
R:=j<>Z:FZ<vyyyy:^:n_;F=E:]c:=:EB:V[<J:<j<J@DJ:MJZmjC>:Gc;YJHvyyuy;B:U
LB>Z:>ryMYyyy?jFB:wC;V[:B:G;Sj`@Pt\\Pd`QrP`:>XMB:<JwE:aJ:>:DJK^:<jP@:E
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TUUSnC<<nG;J<jPF:OB:N`DZ:N:;JS@MmAZ=fZ:JDno;NqBf<VYZ:JB[:b:<;VH::C:UK;
^:>x;FZ:^;;B:_c<B:AB:;JN@mN^i<NNHj<<:cJ]IJnEjDjw;<:[><Z<:VH::C:Uk:^:>X
?B:MJ:N@B:=B:N`:Z:JD^s=>sCf<VYZ:JBA:<Z<:VH::C:UK;^:>X=j>>:_c<B:=:_C:B:
^<GNug<VYZ:JBAj:>:;b::a=:J<jPF:C:[Q;F;;JSd:<j:Jq>Z=B:^<WOtYjDjw;;B:>l;
J:>Z<:VH::C:UK;^:>X=J?JSZ:N:;B:WeU[T:HZ:JDnJkY:[Z:VYZ:JB?Z:b:DJ:<kc`a
\\wgfS:CB:f?=J<JrO:O:_c<B:?J:V_gn\\<r:E:cb:CW:WK?JSZ:N:nvpQl?r:E:cJQob
DF;N@B:=:QC:H:^<;g:Og;MJ:N@B:=:u[=:cJ<HJQN;N@B:?:Iyw_V;:cJJLJQ<J?JSZ:N
:>wrQl?jPC:G;[T:UTRc=PpdPO\\@j<@:L>jCX?l@HA:I=^DPps:JqF<bRY]KrJ:J::EDX
FF<J>:Bw[r=H=@\\XJtQ[;?:E<:[j[FBxr\\N?vK;JB>bnUJyEL<kA@NO:yTKFBJ:@J;DZ
<>Z<R:@J:HJ:@Z>j>L@;ZDV:HJ:@J:PZ;F:?R:<j:N:A>:\\B?B;D;RF<:>klB:;B:?JE]
<F?DJ<fAr<F:VJ>Z<@??j;K<V?B\\]K;Njcj:J>E]:B:V;<JMJ@vYxy:B:;:MB:;B:oA<:
JK^:<jPN:[Z:VY[B:I:;JXE:<j:DZ\\VdsWhngfgK<jPV:C:[q:<:;B:;:::::::::::::
::::::::::::::::::::::3:" }{TEXT -1 46 ".\nDit aantal is natuurlijk oo
k te krijgen als " }{OLE 1 3104 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>
N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::fyyyyyqyyyYJ<Jyky;::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:
::::::JEf:yyyxIV:VZHQ:<J:>R<:T><::;cO=GfieJ?X:A:;x:<Z:j\\FHemj^HMmqnG;
KaFFJufF>::::::;C:?jyyiy=J:B:::::::SA;:=ja^GE=;:::::::::N;?:xI:;Z:::::
:J<JDJ:J;vCJbNHEms>@[;;B:::::::JFNZ;N:<j:>:yayA:<::::::EJ:<J_D:<:=:?J:
VZ:JyyIwAG:I:K:M:OJ:V;^;;j@>:W:wAyA:::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::JHJ;fnZAT<JXkwyME>^<B:KIc;q<@Z?
BKaTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r
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kA@LrukZ<OtQkA@N:Ly\\LyLLyAEni@>[j[xoZr]EDwOsQKDwYVJ><;DwYVJyELcI>YRJO
sQCtQEDwyTKFbI^[;R:@J;DJ;DJ:DZ;FZ;r:@Z>j>L`:T:DZ=pGFaH\\::::=J:DZ:>Z::
::::::::jysyA:CZ:F:<jysy?:;:IW:<J_A:[b:F:MZ=>[;B:?js>:;J<J;@j:f:;B:=b:
yyyyI:C:WS:mj<jRDj:B:EB:V[<J:<j<J@DJJAJ:AjCJMTjA^=yyyxY:<j`><<JZyIGyyy
yy;T:<J=AZ:V[:JMJ@fc[_hb_ds?h_C:[C:EZ:F[<Z<f:^\\<>b;>Ae:qi:;byB:>L=B:;
B:;b:;B>cTTUUSZZ:WM:^:f_;j><J:<JSd:<j:<Z:nG;B;aM:<JMJhgC:eTO[H:ER:BKZ:
V<BU:::c<::]:Dpql@H>:>:j\\jjN<:JBrFRBt;cY?@N:fB:><AlZr]ELOBwYN:><;\\;w
iBC>YRJO;ve?kZ:;R:?b:DJ:R:@Z=R:L:MBS>:DZ=\\:FAQ:G;Sjysy=:;:[B:<jw?<I:;
JXE:;B:=b:Dlc`qsLqlp@CB:<jPF:C:[Y:VZ:>Z:>:::::::::::::::::::::::::::::
1:" }{TEXT -1 40 " (het aantal op de diagonaal, het geval " }{OLE 1 
3100 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyq
yyyYJ<Jyky;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R
<:T><::;cO=GfieJ?X:A:;B;B:fB]mtFFcmnvGWMJnC==nHE=;:::::JJ<J;vyyuy:>:<:
:::::JvK:j:vCSmlJ::::::::::OJ;Zy=J:B::::::^:^<>:N:Y<>D_mlVH[KR<:;B::::
:::JFNZ;N:<j:>:yayA:<::::::EJ:<JLE:<:=:?J:VZ:JyyIwAG:I:K:M:OJ:V;^;;j@>
:W:YJ:nYvY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::^=N:EGrs@s?qyIgJSD:QbkUq<@Z?BKaTMcTG<jCXontpZlPpDnjHqnHp
[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r:aTXUeRYEU@k<HnqPQs`plDQJtnl
>ZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxjZHMtQkA@LrukZ<OtQkA@N:Ly\\LyLLyAE
ni@>[j[xoZr]EDwOsQKDwYVJ><;DwYVJyELcI>YRJOsQCtQEDwyTKFbI^[;R:@J;DJ;DJ:
DZ;FZ;r:@Z>j>L`:T:DZ=Hg:NZ>njwRI?j;e@<J<TB<:F:;b:<J:<::::::::::yayY:^Z
:B:=Z:vYxY;J:JKL:qe:;JoD:=j>r:eS:<J;FI<J:^:<J;@j:f:;B:=b:yyyyI:C:WS:mj
<jRDj:B:E:Qb:>Z:f:^[<>b<>r=V<n^@v;sjyyiyAZ:fC[Z:>ryMZyyy?j=B:DJ:<j?<:G
;Sj`@Pt\\Pd`QrPP:<Jj<j<B:Mb:>Z<f:^\\<>j;>_:f<Vy<>Zx]:JBAj:<J:>Z<>ZJ^dc
gg_;<<nG;J<jP@:O:_c<B:?J:Fgd?q<B;EJ:^<^\\;><<jw;<:[N:<J:DZ<B>aTXDpql`;
^Z:jPF:C:[Y:F[:>:_c<B:=B:<jXB;m=G;Kq`@@jdPOhgZ;R;L>B:a:l@rR::c\\_;:F<b
RY]KrJ:J::E<==:JBrFRBt;cY?@N:fB:><AlZr]ELOBwYN:><;\\;wiBC>YRJO;ve?kZ:;
R:?b:DJ:R:@Z=R:L:MBSZ<rZME:nJZd[:^Z@X;n>^;yayI:>:>\\:B:qQB<j=J:^q<J:<j
:DZ\\VdsWhngfg[:B:UK:^:>X=B:>Z:>:::::::::::::3:" }{TEXT -1 5 " ) + " }
{OLE 1 3588 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
fyyyyyqyyyYJ<j<Jyky;::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyj;j;t
V;B:;JZC:bKB::>^PGnjxh<Or;V:>Z?B:<:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>^:N:y
yyxI:;Z:::::::>^;Z:j:vCSmlJ::::::::::OJ;vYxI:;Z::::::j<JDJ:J;vCJbNHEms
>@[C:>Z::::::::kJ;@J;B:=J:vYxY:B::::::n:>j=Z:j:J;>:AB:^:nyyMyk=J>>:M:O
J:V;^;;j@>:W:YJ:><<jBJCjCJyky;::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::s:?J`\\W<@:aW;fitV^<fq?:fZ;R;LncpNdP]:V
\\QGghGbf_g<GfmGg]Wbi_f_?d[wf_WH]R;cTTUUSaEBWTSiEB_tUUURWmBHjc`qpDpql`
KfZ=wgoOhcgfl?^HgF;R>CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IFbm^xOv[[>xXFbJ
_xOv[;?Znibni^nyk<we;KBVbYGBxr\\LYOxO^LyAA>[JZLyAAny\\Nt=kA@NOxO\\xo\\
LyiP>=t=SR:@Z;NZ<NZ<>Z<R:=R:HZ;B;F;;X:DZ<@??B:AfUHZVj>@JZAj:b:\\RSB:MB
:DJ<TRCDlPDZ=L;Njcb:v??J>[:QZJM::::::=J:DZ:B::::::::::vYxy;J<B:=Z:vYxY
;J:jJ\\Z:Fr<B:Gt:F:MJ:HjKAJ:<J;fK>:C:?R:=j<>Z:FZ<vyyyy:^:n_;F=E:]c:=Z:
f:V[<J:<j<J@DJ:EJjXjCB:Gc;YJHvyyuy;B:ULBB:;xy>pyyY;s;>`<>Z:V[:JMJ@fc[_
hb_ds?h_C:;m<B:Mb:>Z<f:^\\<^\\;Nq;f<Vy<Nvx]:JBAZ:B:DJ:<Kd`ppP@BBJq>:C:
US:F[:>Z:N`DZ:FZ:B:_C:sc:E:cJZAJSf<VY;dyB:>l;Z:b::::^:f?=J<JrA:U:_c<B:
C:KSDYcF[F;UpY?j=fZ:JDJag<VYZ:JBGZ:>Z:>Z<:VH::C:UK:^:>X=J?JSZ:N:;JqtPC
HJ:Ij<<:c:Sg:[B:<jw;<:[N:>Z<b:<kc`a\\wgfS:CB:f?=J<Jr?:MJ:N`DZ:F:<jP<J:
Ij@KMJB@j`@Pt:eTOCR:ER:BKZ:V<BUFFZ_;F<c\\_WH:nG]:DpqR>H>:>:j\\jjJ>:JBr
FRBt;cY?@N:Ly\\:JBVB=\\IhBO;Y>[JZRJyEL<kA@NO:yTKFBJ:@J;DZ<>:@Z;r:@Z>j>
>r;>Z<bZK;A^=BA<j>@:b:\\B<j><Z<^::N:?VDjQJ>[:QZJY;n>^;yayI:;J:JB<Z:VY[
j=B:;JX?:<j:DZ\\VdsWhngfgK<B:US:;J<JrAj:<j;>Z:>:::::::::::::::::::::::
::::::::::::::::::::::::3:" }{TEXT -1 57 " (de helft van het aantal bu
iten de diagonaal, het geval " }{OLE 1 3100 1 "[xm]Br=WfoRrB:::wk;nyyI
;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::fyyyyyqyyyYJ<Jyky;::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::_lqvGcMJ<
j\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R<:T><::;cO=GfieJ?X:A:;B;B:fB]mt
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y=J:B::::::^:^<>:N:Y<>D_mlVH[KR<:;B:::::::JFNZ;N:<j:>:yayA:<::::::EJ:<
JLE:<:=:?J:VZ:JyyIwAG:I:K:M:OJ:V;^;;j@>:W:YJ:nYvY:::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::^=N:EGrs@s?qyIgJT
D:QbkUq<@Z?BKaTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_wh
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JyELcI>YRJOsQCtQEDwyTKFbI^[;R:@J;DJ;DJ:DZ;FZ;r:@Z>j>L`:T:DZ=Hg:NZ>njZO
^sP:AfTB:Cb[B:j:>Z<B:;B::::::::::vYxy;J<<Z:F:<jysy?:;:?C;Vi<>:Oe:F:MZ=
f`;B:?jvB:;J<B:?R:=j<>Z:FZ<vyyyy:^:n_;F=E:]c:=Z:f:V[<J:<j<J@DJZDJZIjCJ
MTjA^=yyyxY:<j`><<JZyI;xyyQ:IZ:b:;B:QB:n>^;UTRcETcTX[US;B:;E:EZ:F[<B:;
b:E:cb:;V:KC:e:qi:;byB:>l;FZ:>:;b:;B>cTTUUSZZ:WM:^:f_;J?JSd:<J;>:MeT;h
:;B;EJ:^<^\\;><<jw;<:[N:<J:DZ<B>aTXDpql`;^Z:jPF:C:[Y:F[:>:_c<B:=B:<jVC
;m]:n>>WUTR:eTOsp<@Z?BKZ:V<BUZ];:^DP@:jBZ\\wG@[=;:;:fBFF::[ZmZ[bA^xORJ
;j\\:JBVB=\\IhBO[nyK;JB>B@ny\\^Jv[;O?jiP>=<>Z;NZ<b:;Z;R:HZ;B;F[^;DZ=Hg
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X=B:>Z:>:::::::::::::3:" }{TEXT -1 32 " ). Een nog langere weg is  via
 " }{OLE 1 3604 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyy
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::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyj
;j;tV;B:;JZC:bKB::>^PGnjxh<Or;V:>b?B:<:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>^
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lVH[KR<:;B:::::::JFNZ;N:<j:>:yayA:<::::::I:cu:B:F:N:;j;<:CJ:f:<JyyIwAK
:M:OJ:V;^;;j@>:W:YJ:><<jBJCjCJDJyky;::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::^=N:YYnSS:FT<jt<tLVh;jyHn:gZ;R;;BK
aTMcTG<jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r:a
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aEWEUU^:<jPF:C:[Y:;j;>Z:>:::::::::::::::::::::::::::::::::::::::::3:" 
}{TEXT -1 3 "  \n" }{TEXT 263 8 "Antwoord" }{TEXT -1 26 ", in alle gev
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nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::
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:::::::::::::::::::::::::::::::::::::::::::::::s:?jqAW>@:]`:fhZh>UT:F`
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R=R:N:b:DRNNZ:VJ^Z@X?Qc:\\rRN:?VDD:YK;>klB:;B:HB<::::j:<J:DZ:B::::::::
::vYxy;J<B:=Z:vYxY;J:JyY:Ci:nc=j:F;HjMAZ:N:Y>;J<J;@j:f:;B:=b:yyyyI:C:W
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:::::::::::::::::::::::::::::::::::::::fyyyyyqyyyYJ<j<Jyky;:::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::N
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-1 57 " wordt bovenin geplaatst. Onderin komt de triviale groep " }
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::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
fyyyyyqyyyYJ<Jyky;::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::_lqvGcMJ<j\\nGcMsFI>:::::::JEf:yyyxIV:VZH
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54 "en op het tussenniveau de enige (en normale) subgroep " }{OLE 1 
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:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyq
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{TEXT -1 55 "  van de orde 3 (met 3 inderdaad een deler van de orde " 
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