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I know why now, but thought I'd share: 0! = (1-1)! = 1!/1 =

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Manager
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I know why now, but thought I'd share: 0! = (1-1)! = 1!/1 = [#permalink] New post 10 Sep 2008, 18:04
I know why now, but thought I'd share:

0! = (1-1)! = 1!/1 = 1/1 = 1
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Re: Why is zero factorial equal to one? [#permalink] New post 10 Sep 2008, 19:35
sarzan wrote:
I know why now, but thought I'd share:

0! = (1-1)! = 1!/1 = 1/1 = 1


i think its more logical than mathmatical.

suppose there are 5 people. how many group(s) of 5 can be formed from 5 people.

the solution = 5c5 = 5!/[5!(5-5)!] = 5!/(5!0!)

lets use the logic: how many groups of 5 people can be formed from 5 people? 1 group. if we use 0! as 0, then the formula gives infinite groups, which is not correct. so here 0! has to be 1, then only the formula works for all scenarios. therefore, 0! = 1.

we can raise similar question: why x^0 = 1?

we can apply same logic. :-D :)
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Re: Why is zero factorial equal to one? [#permalink] New post 10 Sep 2008, 19:39
GMAT TIGER wrote:
sarzan wrote:
I know why now, but thought I'd share:

0! = (1-1)! = 1!/1 = 1/1 = 1


i think its more logical than mathmatical.

suppose there are 5 people. how many group(s) of 5 can be formed from 5 people.

the solution = 5c5 = 5!/[5!(5-5)!] = 5!/(5!0!)

lets use the logic: how many groups of 5 people can be formed from 5 people? 1 group. if we use 0! as 0, then the formula gives infinite groups, which is not correct. so here 0! has to be 1, then only the formula works for all scenarios. therefore, 0! = 1.

we can raise similar question: why x^0 = 1?

we can apply same logic. :-D :)



great grasp tiger. thanks for the explanation.
Re: Why is zero factorial equal to one?   [#permalink] 10 Sep 2008, 19:39
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Came across these in an email, thought id share this w/ you GMATBLACKBELT 3 07 Nov 2007, 16:26
All of us know that n^0 = 1, but how many of us know why? I KillerSquirrel 2 03 Oct 2007, 02:23
2 Thought I'd share... rhyme 22 27 Nov 2006, 10:44
I'd like to share the ETS tests I bought....is that legal? BARIDDLA 1 12 Feb 2006, 16:47
0!=1 why? we have : n!/n = (n-1)! ---> 0!= 1!/1= 1 laxieqv 1 16 Nov 2005, 07:23
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I know why now, but thought I'd share: 0! = (1-1)! = 1!/1 =

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