..elaboration please? :-)
I've heard of Convention (can't remember anything about it though lol), but how does that prove that !0=1 ?
Thanks
[r.D]
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Question
Factorial: 0!
Hello again :-)
Why does: 0! = 1 ??
Surely:
4! = 4*3*2*1 = 24
3! = 3*2*1 = 6
2! = 2*1 = 2
1! = 1 = 1
0! = 0
???????????????????
Thank you,
[r.D]
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Answers
http://mathworld.wolfram.c
Factorial is defined for positive integers. You could never have (-1)!.
It means that formula that use factorial workout nicely like the ones for Permutations and combinations, when n = k they still arrive at the correct answer.
n!
n_P_k = --------
(n - k)!
n!
n_C_k = ----------
k!(n - k)!
Just out of interest:
An extension of the Factorial function is the Gamma function.
http://mathworld.wolfram.c
Gamma(n) = (n - 1)!
It might be for this reason too that Factorial 0 is defined as 1.
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by: SteHPosted on 2005-01-28 at 08:44:51ID: 13164950
Convention!