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تاريخ التسجيل : 06/12/2008
 |  موضوع: What is Zero-Factorial? الإثنين أكتوبر 08, 2012 5:26 pm | |
| Simple answer: 0! (read "Zero Factorial") is defined to equal 1.
Involved answer(s):
There are several proofs that have been offered to support this common definition.
Example (1)
If n! is defined as the product of all positive integers from 1 to n, then:
1! = 1*1 = 1
2! = 1*2 = 2
3! = 1*2*3 = 6
4! = 1*2*3*4 = 24
...
n! = 1*2*3*...*(n-2)*(n-1)*n
and so on.
Logically, n! can also be expressed n*(n-1)! .
Therefore, at n=1, using n! = n*(n-1)!
1! = 1*0!
which simplifies to 1 = 0!
copied
Hope it's useful ^_^
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