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why is 0! = 1 ??

 May 11, 2016
 #1
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Factorial is considered the number of ways to arrange x distinct objects. 

1! is 1 because there is 1 way to arrange 1 object. [1]

2! is 2 because there are 2 ways to arrange 2 objects (AB, BA). [2*1]

3! is 6 because there are 6 ways to arrange 3 objects (ABC, ACB, BAC, BCA, CAB, CBA) [3*2*1]

^So on and so forth.

So, 0! is 1 because there is 1 way to arrange 0 objects (_). 

 May 11, 2016

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