{VERSION 7 1 "Linux" "7.1" }
{USTYLETAB {PSTYLE "Ordered List 5" -1 200 1 {CSTYLE "" -1 -1 "Times" 
1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 144 2 0 2 2 -1 1 }
{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "MS Serif" 1 12 0 0 0 1 1
 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Text Output
" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 2 2 2 2 2 1 3 0 0 1
 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Ordered List 1" -1 201 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3
 2 0 2 0 2 2 -1 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Tim
es" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }
{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2
 2 2 1 0 0 1 }3 1 0 0 8 8 2 0 2 0 2 2 -1 1 }{PSTYLE "Dash Item" -1 16 
1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3
 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "MS S
erif" 1 14 0 0 0 1 1 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }
{PSTYLE "Diagnostic" -1 9 1 {CSTYLE "" -1 -1 "Courier" 1 12 40 120 40 
1 2 2 2 2 2 1 2 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Ordered \+
List 4" -1 202 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0
 0 1 }1 1 0 0 3 3 2 108 2 0 2 2 -1 1 }{PSTYLE "Maple Output" -1 11 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0
 2 0 2 0 2 2 -1 1 }{PSTYLE "List Item" -1 14 1 {CSTYLE "" -1 -1 "Times
" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }
{PSTYLE "Line Printed Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 12 0
 0 255 1 2 2 2 2 2 1 2 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "H
eading 2" -1 4 1 {CSTYLE "" -1 -1 "MS Serif" 1 16 0 0 0 1 2 1 2 2 2 2 
1 0 0 1 }1 1 0 0 8 2 2 0 2 0 2 2 -1 1 }{PSTYLE "Ordered List 3" -1 203
 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 
3 3 2 72 2 0 2 2 -1 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courie
r" 1 12 255 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 
}{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 
2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Warning" -1 
7 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1
 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1
 "MS Serif" 1 18 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 8 4 2 0 2 0 2 2 
-1 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 
1 2 2 2 2 1 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "Ordered Li
st 2" -1 204 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0
 1 }1 1 0 0 3 3 2 36 2 0 2 2 -1 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" 
-1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 
2 -1 1 }{CSTYLE "Equation Label" -1 200 "Courier" 1 12 0 0 0 1 2 1 2 2
 2 2 0 0 0 1 }{CSTYLE "Text" -1 201 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0
 0 0 1 }{CSTYLE "Page Number" -1 33 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 0
 0 0 1 }{CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 2 1 2 2 1 
2 0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 1 12 0 0 255 1 2 2 2 2 2 
1 0 0 0 1 }{CSTYLE "Dictionary Hyperlink" -1 45 "MS Serif" 1 12 147 0 
15 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "2D Input" -1 19 "Times" 1 12 0 0 0 
1 2 2 2 2 1 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 202 "Couri
er" 1 12 200 0 200 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Time
s" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "MS Ser
if" 1 12 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }}
{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT 203 38 "Bevezet\303\251s a matem
atik\303\241ba" }}}{EXCHG {PARA 19 "" 0 "" {TEXT 204 18 "J\303\241rai \+
Antal" }}}{EXCHG {PARA 19 "" 0 "" {TEXT 201 69 "Ezek a programok csak \+
szeml\303\251ltet\303\251sre szolg\303\241lnak." }}}{SECT 1 {PARA 3 ""
 0 "" {TEXT 205 11 "1. Halmazok" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0
 "" "%#%?G" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 35 "2. Term\303\251s
zetes sz\303\241mok" }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}}{SECT 1 
{PARA 3 "" 0 "" {TEXT 205 53 "3. A sz\303\241mfogalom b\305\221v\303\2
55t\303\251se" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}
{SECT 0 {PARA 3 "" 0 "" {TEXT 205 24 "4. V\303\251ges halmazok" }}
{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 8 "restart;" }}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 51 "4.1. V\303\251
ges halmazok alaptulajdons\303\241gai" }}{PARA 0 "" 0 "" {TEXT 201 0 "
" }}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 38 "4.1.1. Halmazok ekvivalenci
\303\241ja." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 36 "4.1.2. \303\201ll\303\255t\303\2
41s." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 25 "4.1.3. Megjegyz\303\251s." }}{EXCHG 
{PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 207 17 "->4.1.4. Feladat." }}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 
17 "->4.1.5. Feladat." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "->4.1.
6. Feladat." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "->4.1.7. Feladat
." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 20 "4.1.8. T\303\251tel." }}
{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 
0 "" {TEXT 207 20 "4.1.9. T\303\251tel." }}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 56 "4.1.
10. V\303\251ges \303\251s v\303\251gtelen halmazok." }}{PARA 0 "" 0 "
" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "X:=\{a,aa
,b,c,d\}; nops(X); nops(\{\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "<'I\"a
G6\"I#aaGF$I\"bGF$I\"dGF$I\"cGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"
&" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 21 "4.1.
11. T\303\251tel." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}
}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 21 "4.1.12. Skatulya elv." }}
{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 
0 "" {TEXT 207 21 "4.1.13. T\303\251tel." }}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.1.
14. Feladat." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.1.15. Feladat
." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.1.16. Feladat." }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.1.17. Feladat." }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 18 "->4.1.18. Feladat." }}}{SECT 1 {PARA 5 "
" 0 "" {TEXT 207 18 "->4.1.19. Feladat." }}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 207 18 "->4.1.20. Feladat." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 
207 18 "->4.1.21. Feladat." }}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 18 "-
>4.1.22. Feladat." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "*4.1.23. F
eladat." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "*4.1.24. Feladat." }
}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.1.25. Feladat." }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 11 "4.1.26. Tov" }{TEXT 207 8 "\303\241" }
{TEXT 207 14 "bbi feladatok." }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "
" "%#%?G" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 18 "4.2. Kombinatorika
" }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT
 1 0 15 "with(combinat);" }}{PARA 11 "" 1 "" {XPPMATH 20 "7CI$ChiG6\"I
%bellGF$I)binomialGF$I)cartprodGF$I*characterGF$I'chooseGF$I,compositi
onGF$I)conjpartGF$I+decodepartGF$I+encodepartGF$I*fibonacciGF$I*firstp
artGF$I)graycodeGF$I)inttovecGF$I)lastpartGF$I,multinomialGF$I)nextpar
tGF$I)numbcombGF$I)numbcompGF$I)numbpartGF$I)numbpermGF$I*partitionGF$
I(permuteGF$I)powersetGF$I)prevpartGF$I)randcombGF$I)randpartGF$I)rand
permGF$I-setpartitionGF$I*stirling1GF$I*stirling2GF$I(subsetsGF$I)vect
ointGF$" }}}{PARA 0 "" 0 "" {TEXT 201 0 "" }}{SECT 0 {PARA 5 "" 0 "" 
{TEXT 207 33 "4.2.1. Permut\303\241ci\303\263k." }}{PARA 0 "" 0 "" 
{TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "L:=[a,b,c,d
]; permute(L); numbperm(L);" }}{PARA 11 "" 1 "" {XPPMATH 20 "7&I\"aG6
\"I\"bGF$I\"cGF$I\"dGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "7:7&I\"aG6\"I
\"bGF%I\"cGF%I\"dGF%7&F$F&F(F'7&F$F'F&F(7&F$F'F(F&7&F$F(F&F'7&F$F(F'F&
7&F&F$F'F(7&F&F$F(F'7&F&F'F$F(7&F&F'F(F$7&F&F(F$F'7&F&F(F'F$7&F'F$F&F(
7&F'F$F(F&7&F'F&F$F(7&F'F&F(F$7&F'F(F$F&7&F'F(F&F$7&F(F$F&F'7&F(F$F'F&
7&F(F&F$F'7&F(F&F'F$7&F(F'F$F&7&F(F'F&F$" }}{PARA 11 "" 1 "" {XPPMATH 
20 "\"#C" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 
0 {PARA 5 "" 0 "" {TEXT 207 31 "4.2.2. Vari\303\241ci\303\263k." }}
{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 31 "L; permute(L,2); numbperm(L,2);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"7&I\"aG6\"I\"bGF$I\"cGF$I\"dGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "7.7$
I\"aG6\"I\"bGF%7$F$I\"cGF%7$F$I\"dGF%7$F&F$7$F&F(7$F&F*7$F(F$7$F(F&7$F
(F*7$F*F$7$F*F&7$F*F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#7" }}}
{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 0 {PARA 5 "" 
0 "" {TEXT 207 56 "4.2.3. Ism\303\251tl\303\251ses vari\303\241ci\303
\263k." }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 50 "L:=[a,a,b,b,c,c,d,d]; permute(L,2); numbperm(L,2);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "7*I\"aG6\"F#I\"bGF$F%I\"cGF$F&I\"dGF$F'
" }}{PARA 11 "" 1 "" {XPPMATH 20 "727$I\"aG6\"F$7$F$I\"bGF%7$F$I\"cGF%
7$F$I\"dGF%7$F'F$7$F'F'7$F'F)7$F'F+7$F)F$7$F)F'7$F)F)7$F)F+7$F+F$7$F+F
'7$F+F)7$F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#;" }}}{EXCHG {PARA 0
 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT 
207 33 "4.2.4. Kombin\303\241ci\303\263k." }}{PARA 0 "" 0 "" {TEXT 
201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "L:=[a,b,c,d]; cho
ose(L,2); numbcomb(L,2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "7&I\"aG6\"I
\"bGF$I\"cGF$I\"dGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "7(7$I\"aG6\"I\"b
GF%7$F$I\"cGF%7$F$I\"dGF%7$F&F(7$F&F*7$F(F*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"'" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" 
}}}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 58 "4.2.5. Ism\303\251tl\303\251
ses kombin\303\241ci\303\263k." }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "L:=[a,a,b,b,c,c,d,d]; choose
(L,2); numbcomb(L,2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "7*I\"aG6\"F#I\"
bGF$F%I\"cGF$F&I\"dGF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "7,7$I\"aG6\"
F$7$F$I\"bGF%7$F$I\"cGF%7$F$I\"dGF%7$F'F'7$F'F)7$F'F+7$F)F)7$F)F+7$F+F
+" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#5" }}}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 57 "4.2.
7 Ism\303\251tl\303\251ses permut\303\241ci\303\263k." }}{PARA 0 "" 0 
"" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "L:=[a,a,
b,b,b,c]; permute(L);" }}{PARA 11 "" 1 "" {XPPMATH 20 "7(I\"aG6\"F#I\"
bGF$F%F%I\"cGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "7hn7(I\"aG6\"F$I\"bGF
%F&F&I\"cGF%7(F$F$F&F&F'F&7(F$F$F&F'F&F&7(F$F$F'F&F&F&7(F$F&F$F&F&F'7(
F$F&F$F&F'F&7(F$F&F$F'F&F&7(F$F&F&F$F&F'7(F$F&F&F$F'F&7(F$F&F&F&F$F'7(
F$F&F&F&F'F$7(F$F&F&F'F$F&7(F$F&F&F'F&F$7(F$F&F'F$F&F&7(F$F&F'F&F$F&7(
F$F&F'F&F&F$7(F$F'F$F&F&F&7(F$F'F&F$F&F&7(F$F'F&F&F$F&7(F$F'F&F&F&F$7(
F&F$F$F&F&F'7(F&F$F$F&F'F&7(F&F$F$F'F&F&7(F&F$F&F$F&F'7(F&F$F&F$F'F&7(
F&F$F&F&F$F'7(F&F$F&F&F'F$7(F&F$F&F'F$F&7(F&F$F&F'F&F$7(F&F$F'F$F&F&7(
F&F$F'F&F$F&7(F&F$F'F&F&F$7(F&F&F$F$F&F'7(F&F&F$F$F'F&7(F&F&F$F&F$F'7(
F&F&F$F&F'F$7(F&F&F$F'F$F&7(F&F&F$F'F&F$7(F&F&F&F$F$F'7(F&F&F&F$F'F$7(
F&F&F&F'F$F$7(F&F&F'F$F$F&7(F&F&F'F$F&F$7(F&F&F'F&F$F$7(F&F'F$F$F&F&7(
F&F'F$F&F$F&7(F&F'F$F&F&F$7(F&F'F&F$F$F&7(F&F'F&F$F&F$7(F&F'F&F&F$F$7(
F'F$F$F&F&F&7(F'F$F&F$F&F&7(F'F$F&F&F$F&7(F'F$F&F&F&F$7(F'F&F$F$F&F&7(
F'F&F$F&F$F&7(F'F&F$F&F&F$7(F'F&F&F$F$F&7(F'F&F&F$F&F$7(F'F&F&F&F$F$" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "multinomial(6,2,3,1);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "\"#g" }}}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "->4.
2.7. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 
17 "->4.2.8. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 207 17 "->4.2.9. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 ""
 0 "" {TEXT 207 18 "->4.2.10. Feladat." }{TEXT 207 0 "" }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 18 "->4.2.11. Feladat." }{TEXT 207 0 "" }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.12. Feladat." }{TEXT 207 
0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.13. Feladat." }
{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.14. Fela
dat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.1
5. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "
->4.2.16. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 
207 16 "4.2.17. Feladat." }{TEXT 207 0 "" }}}{SECT 0 {PARA 5 "" 0 "" 
{TEXT 207 18 "->4.2.18. Feladat." }{TEXT 207 0 "" }}}{SECT 0 {PARA 5 "
" 0 "" {TEXT 207 18 "->4.2.19. Feladat." }{TEXT 207 0 "" }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 16 "4.2.20. Feladat." }{TEXT 207 0 "" }}}
{SECT 0 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.21. Feladat." }{TEXT 207 
0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.22. Feladat." }
{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.23. Fela
dat." }{TEXT 207 0 "" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G"
 }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 18 "->4.2.24. Feladat." }{TEXT 
207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "*4.2.25. Feladat." }
{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "*4.2.26. Felad
at." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.2.27. \+
Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "*4.
2.28. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 
16 "4.2.29. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT
 207 16 "4.2.30. Feladat." }{TEXT 207 0 "" }}}{SECT 0 {PARA 5 "" 0 "" 
{TEXT 207 16 "4.2.31. Feladat." }{TEXT 207 0 "" }}}{SECT 0 {PARA 5 "" 
0 "" {TEXT 207 16 "4.2.32. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 
5 "" 0 "" {TEXT 207 16 "4.2.33. Feladat." }{TEXT 207 0 "" }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 16 "4.2.34. Feladat." }{TEXT 207 0 "" }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.2.35. Feladat." }{TEXT 207 0 "
" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.2.36. Feladat." }{TEXT 
207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 11 "4.2.37. Tov" }{TEXT 
207 8 "\303\241" }{TEXT 207 14 "bbi feladatok " }{TEXT 207 6 "megold" 
}{TEXT 207 8 "\303\241" }{TEXT 207 7 "sokkal." }{TEXT 207 0 "" }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 11 "4.2.38. Tov" }{TEXT 207 8 "\303
\241" }{TEXT 207 13 "bbi feladatok" }{TEXT 207 1 "." }{TEXT 207 0 "" }
}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 0 {PARA 4 "
" 0 "" {TEXT 206 52 "4.3. Polinomi\303\241lis t\303\251tel, szita form
ula" }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}{SECT 0 {PARA 5 "" 0 "" {TEXT 
207 38 "4.3.1. Binomi\303\241lis t\303\251tel." }}{PARA 0 "" 0 "" 
{TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "(x+y)^6; ex
pand(%); sum(binomial(n,k)*x^k*y^(n-k),k=0..n);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "*$),&I\"xG6\"\"\"\"I\"yGF&F'\"\"'F'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ",0*$)I\"xG6\"\"\"'\"\"\"F(*(F'F()F%\"\"&F(I\"yGF&F(F(*(\"
#:F()F%\"\"%F()F,\"\"#F(F(*(\"#?F()F%\"\"$F()F,F6F(F(*(F.F()F%F2F()F,F
0F(F(*(F'F(F%F()F,F+F(F(*$)F,F'F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "*
&),&*&I\"xG6\"\"\"\"I\"yGF'!\"\"F(F(F(I\"nGF'F()F)F+F(" }}}}{SECT 0 
{PARA 5 "" 0 "" {TEXT 207 34 "4.3.2. K\303\266vetkezm\303\251ny." }}
{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 60 "sum(binomial(n,k),k=0..n); sum(binomial(n,k)*(-1)^k,k=0..n);" }}
{PARA 11 "" 1 "" {XPPMATH 20 ")\"\"#I\"nG6\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" 
}}}}{SECT 0 {PARA 5 "" 0 "" {TEXT 207 40 "4.3.3. Polinomi\303\241lis t
\303\251tel." }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0
 "" {MPLTEXT 1 0 21 "(x+y+z)^4; expand(%);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "*$),(I\"xG6\"\"\"\"I\"yGF&F'I\"zGF&F'\"\"%F'" }}{PARA 11 
"" 1 "" {XPPMATH 20 ",@**\"#7\"\"\"I\"xG6\"F%I\"yGF'F%)I\"zGF'\"\"#F%F
%**F$F%)F&F+F%F(F%F*F%F%**F$F%F&F%)F(F+F%F*F%F%*$)F&\"\"%F%F%*$)F(F2F%
F%*$)F*F2F%F%*(F2F%)F&\"\"$F%F(F%F%*(F2F%F8F%F*F%F%*(\"\"'F%F-F%F/F%F%
*(F<F%F-F%F)F%F%*(F2F%F&F%)F(F9F%F%*(F2F%F&F%)F*F9F%F%*(F2F%F?F%F*F%F%
*(F<F%F/F%F)F%F%*(F2F%F(F%FAF%F%" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2
 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 29 "4.3.4. Logikai
 szita formula." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}
{SECT 0 {PARA 5 "" 0 "" {TEXT 207 8 "4.3.5. P" }{TEXT 207 11 "\303\251
lda" }{TEXT 207 1 "." }{TEXT 207 0 "" }}{PARA 0 "" 0 "" {TEXT 201 0 ""
 }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 219 "120,-floor(120/2),-floor
(120/3),-floor(120/5),-floor(120/7),floor(120/6),floor(120/10),floor(1
20/14),floor(120/15),floor(120/21),floor(120/35),-floor(120/30),-floor
(120/42),-floor(120/70),-floor(120/105),floor(120/210);" }}{PARA 11 ""
 1 "" {XPPMATH 20 "62\"$?\"!#g!#S!#C!#<\"#?\"#7\"\")F*\"\"&\"\"$!\"%!
\"#!\"\"F/\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "`+`(%);" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "\"#F" }}}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 17 "->4.
3.6. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 
17 "->4.3.7. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 207 17 "->4.3.8. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 ""
 0 "" {TEXT 207 17 "->4.3.9. Feladat." }{TEXT 207 0 "" }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 18 "->4.3.10. Feladat." }{TEXT 207 0 "" }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.3.11. Feladat." }{TEXT 207 
0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.3.12. Feladat." }
{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.3.13. Felada
t." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 16 "4.3.14. F
eladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.
3.15. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 
16 "4.3.16. Feladat." }{TEXT 207 0 "" }}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 18 "->4.
3.17. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 207 
18 "->4.3.18. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 207 16 "4.3.19. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 
0 "" {TEXT 207 16 "4.3.20. Feladat." }{TEXT 207 0 "" }}}{SECT 1 {PARA 
5 "" 0 "" {TEXT 207 16 "4.3.21. Feladat." }{TEXT 207 0 "" }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT 207 16 "4.3.22. Feladat." }{TEXT 207 0 "" }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 207 11 "4.3.23. Tov" }{TEXT 207 8 "\303
\241" }{TEXT 207 20 "bbi feladatok megold" }{TEXT 207 8 "\303\241" }
{TEXT 207 7 "sokkal." }{TEXT 207 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT
 207 11 "4.3.24. Tov" }{TEXT 207 8 "\303\241" }{TEXT 207 13 "bbi felad
atok" }{TEXT 207 1 "." }{TEXT 207 0 "" }}}}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 27 "5. V
\303\251gtelen halmazok" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%
?G" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 28 "6. Sz\303\241melm\303\25
1let" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 
{PARA 3 "" 0 "" {TEXT 205 28 "7. Gr\303\241felm\303\251let" }}{EXCHG 
{PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 3 "" 0 "" 
{TEXT 205 10 "8. Algebra" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#
%?G" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 24 "9. K\303\263dol\303\241
s" }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}{SECT 1 {PARA 
3 "" 0 "" {TEXT 205 16 "10. Algoritmusok" }}{EXCHG {PARA 0 "" 0 "" 
{XPPEDIT 2 0 "" "%#%?G" }}}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" 
"%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}}
{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 
33 1 1 }