N n . n k k , , n . , ( ), , . nk :
nk = | n! k!(n - k)! |
1. . ?
. , (m=2), 8 (n=8). , :
. ?
. , . , n = 5, m=3:
2. , ?
. 6 n=6. , m=2, , , , - - . :
3. , 9, 4 , ?
. ) , :
) , :
4. , .. ?
.
, , , , , 6 . , :
7 = 7! = 5040
5. 30 ?
.
) , , :
330 = 30! / 3!27! = 4060
) , .. , :
330 = 30! / 27! = 24360
6. , : ) ; ) ?
.
|
|
) 1. , 10- 0 9. , . , :
106 = 106 = 1000000
2. , , , . , 0, , ..
0 9. :
105 = 105 = 100000
3. , , , , :
106 105 = 106 105 = 1000000 100000 = 900000
) 1. . , , . :
106 = 10! / (10 6)! = 5678910 = 151200
2. , , , . , 0, , , .. 0 9. . :
105 = 10! / (10-5)! = 678910 = 30240
3. , , :
106 105 = 106 105 = 151200 30240 = 120960
7. , , :
) ;
) ;
?
.
) :
83 = 8! / 3! 5! = 56
) 4- 42 4- 41 . ( , ) 42 41 = 24.
) 3- (.. 43 = 4! / 3!1! = 4). . 43 222 = 48 =32.
8. 2000 . , , ?
.
33 , , , , , n = 33-4 = 29. 29 , . 2929 = 841 < 2000. 841 , 2000 .