數學一問(要有資料來源)

2007-03-31 11:00 pm
求0~9的數字組合和公式
請詳盡!!!!!!!!!!

回答 (2)

2007-04-10 10:14 pm
✔ 最佳答案


圖片參考:http://upload.wikimedia.org/math/d/c/9/dc9ebca2704bffee110d8260ed7d1666.png

where:


r is the size of each permutation,
n is the size of the sequence from which elements are permuted, and
! is the factorial operator.

這是permutation, 現在 n 和 r 都係 10:
= 10! / (10 - 10)!
= 10! / 0!
= 3,628,800 / 1
=3,628,800


Remarks:
n!=n(n-1)(n-2)...(n-n+1)
10!=10 x 9 x 8.......x 2 x 1
0! = 1

2007-04-10 14:15:27 補充:
資料來源http://en.wikipedia.org/wiki/Permutation
2007-04-10 10:31 pm
10x9x8x7x6x5x4x3x2x1 = 3628800


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