X = {5, 1, 2, 8}. 4 .
1. 5, 1, 2, 8, ?
. ððð , .
( ) , . : ( ´ ´ ) = 4 4 4 = = 43 = 64.
1 4 3 .
. k, X, k. .
, , :
.
2.
5, 1, 2, 8, ?
. ððð , .
, ( ), .
4 3 2 = 24.
2 4 3 .
. k - , X, k. .
, , :
.
3. 5, 1, 2, 8, ?
. ðððð , . ( ) . . ( ) , , .
: 4321=24.
3 4 .
. m , , , . .
, , :
= ( 1) ( 2) ... 1 = !
! m - 1 ( 1).
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4. , , X = {5, 1, 2, 8}?
. : {5, 1, 2}, {5, 1, 8}, {1, 2, 8}, {5, 2, 8}. 4. .
. k , m - X, k. .
m . , k - m - .
, k , k! . , = k!
: .
6.
, k X, , .. k, , X. .
1. .
, .
. X . k X , ( k). X X. ( k) X k . , k ( k) , . .
2. k, , 1£ k £ 1,
.
. :
, .
.
- . X . , , . k X : , , , . k k \ { } = '. X' 1, k . k . . , (k 1) , X'. , (k 1) ', .. .
k , , , . , , k X . . , .
, . , [3].
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1 | ||||||||||
1 | 1 | |||||||||
1 | 2 | 1 | ||||||||
1 | 3 | 3 | 1 | |||||||
1 | 4 | 6 | 4 | 1 | ||||||
1 | 5 | 10 | 10 | 5 | 1 | |||||
. | . | . | . | . | . | . | . | . | . | . |
( = 0, 1, 2 ) . , . , , . . , 10 4 6, 10.
1. R X = {1, 3, 5, 7} Y = {2, 4, 6} :{(1, 2), (3, 2), (5, 2), (5, 4), (7, 4), (7, 6)}., R Ì X ´ Y. .
2. ?
3. N .
4. : ?
5. ?
6. ?
2