1. , 1, , .
2. , a,b,c 
N N=(N;S,,), , N- S, , - , , , 1:
) ;
) ;
) ;
) ;
) ;
) .
3. (), . , :
4. Q(x,y)- ≤, M={0,1,2,39}. . .
5. (,) {a,b,c} .
:
6. S(x,y,z) (x,y,z)- , :
) Z ;
) N0 .
:
7. (,), , :
1. (,), 
, :
)
)
) , 3
),-
2. (,), β(U), :
)
)
3. (,), , :
)
)
)
8. 
;
1. .
:
1. .., .. . .: , 2004. 240 .
2. .. . \.. . .: . 2000. 240.
3. .. . .: , 1979. 272.
6.
:
, .
:
2 , , . 2 .
1. 4 , 8 . .
|
|
|
. X , Y - , . - f: X > Y ( , ). X Y, |YX| = 84 = 4096.
2. 25 . .
. , - 3- . 
= 25!/(3!∙22!)= 2300.
3. A = 10 { }, B = 5 { }. A B , - 15. A B , 1 1 50.
4. 2 . , .
.
m , n . m = n = 3. , , 9. 18.
5. , 10 .
.
10!
6. 15 3 . .
.
= 15 ×14 ×13 = 2730.
7. 15 3 . .
.
8. , 0 9. .
.
n = 10, m = 4 104.
9. m, 2 : 0 1. .
.
, m .: 2 m
10. , .
.
3 (k 1= 3), 2 (k 2 = 2), 2 (k 3 = 2), , , , k 3 = k 4 = k 5 = 1.
C 10 (3, 2,, 2, 1, 1, 1) = 
=151200.
11. 7 . 4 . (, ³ 4).
.
12. V = { a, b, c }. m = 2. , , , , .
.
1. : { abc, bac, bca, acb, cab, cba }. P 3=3!=6.
2. : {(ab), (bc), (ac), (ba), (cb), (ca)}. 
3. : {(ab), (ac), (bc)}. 
|
|
|
4. : {(ab), (bc), (ac), (ba), (cb), (ca), (aa), (bb), (cc)}. 
(3)= 32 = 9.
5. : {(ab), (bc), (ca), (aa), (bb), (cc)}. 
