what is 0 factorial?Give proof.

0! = 1'

proof....

as we know

1! = 1*1 = 1
2! = 1*2 = 2
...
n! = 1*2*3*...*(n-2)*(n-1)*n
i.e.

n!= n*(n-1)! ...............(1)

 

For n=1, 

equation (1) becomes
1! = 1*0!
or

1 = 0!

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0! = 1

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0! factorial means arranging 0 item at atime

that is done only in one way i.e. not arraging them

0!=1

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