????????????? ???? ??????????????
n
|
n
!
|
0
|
1
|
1
|
1
|
2
|
2
|
3
|
6
|
4
|
24
|
5
|
120
|
6
|
720
|
7
|
5040
|
8
|
40320
|
9
|
362880
|
10
|
3628800
|
11
|
39916800
|
12
|
479001600
|
13
|
6227020800
|
14
|
87178291200
|
15
|
1307674368000
|
16
|
20922789888000
|
17
|
355687428096000
|
18
|
6402373705728000
|
19
|
121645100408832000
|
20
|
2432902008176640000
|
70
|
7100119785716700000♠
1.197
857
167
×
10
100
|
100
|
7157933262154400000♠
9.332
621
544
×
10
157
|
450
|
1.733
368
733
×
10
1000
|
1000
|
4.023
872
601
×
10
2567
|
3249
|
6.412
337
688
×
10
10
000
|
10000
|
2.846
259
681
×
10
35
659
|
25206
|
1.205
703
438
×
10
100
000
|
100000
|
2.824
229
408
×
10
456
573
|
205023
|
2.503
898
932
×
10
1
000
004
|
1000000
|
8.263
931
688
×
10
5
565
708
|
1723508
|
5.290
070
307
×
10
10
000
001
|
2000000
|
3.776
821
058
×
10
11
733
474
|
10000000
|
1.202
423
401
×
10
65
657
059
|
14842907
|
2.788
662
975
×
10
100
000
000
|
?????????
(
????.
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factorial
, factor - ????????, ???????????), ????? ????? ????? ????
?????? ???? ???? ?????
?????? ?????
??????????
?
, ?????????? ? ?!?
?????? 5-? ?????????? ????? ????????
?????????? ???????????? ? ???????????? ?????? ??????????????, ????????
?????????????????
,
????????????
?
????????????? ?????????
?????????? ????????? ??????????? ??????? ?????????? ????????????? ?????????? ?????? ??????? ??
??? ????? ???????? ?? ??? 12-?? ?????, ?????????? ?????????????
[1]
?
??? ?-??? ??????? ?????????? ??????? ?????? ???????? ?
????????? ????????
?
??????? ?????????????????? ???? ??????? ?
? ?????????? ?, ?? 0! = 1?
- ↑
N. L. Biggs,
The roots of combinatorics
, Historia Math. 6 (1979) 109?136
??? ??????? ??? ??? ????? ??????? ??????? ????????? ??? ???????? ????????? ??????? ? ???????? ??????? ?????????????? ???????? 3.0 (Creative Commons BY-SA 3.0) ???? ????????????? ?????????
???????? ????????? ??????????????
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|