Why 0!(fractorial)=1 ?

2010-03-20 5:59 am

如題
0!=1 係公式, 但係係點計出黎?

回答 (3)

2010-03-20 6:03 am

✔ 最佳答案

n! = 1x2x3x...x(n-2)(n-1)n
= n(n-1)!
Put n=1 in both side
we have,
1! = 1(1-1)!
0! = 1

參考: My Maths knowledge

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2010-03-20 7:20 am

0!=1 is a definition, but not a result of calcuation.
This definition is to simply make calculation convenient.

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2010-03-20 7:00 am

通常我地最早見到
factorial 係起 Maths 中的排列與組合。

0! = 1，正好講出
冇野亦係一種排列。Factorial 的定義，可參考 Wikipedia

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