0!=?

hello friends, do you know the proof for 0!=1?
here it is...

0! = 1?
Ncn=1
n!/((n-n)!n!) = 1
(n-n)! = n!/n!
0! = 1
Another method
n! = (n+1) ! / (n+1)

7! = 8!/8
6! = 7!/7
0! = 1!/1 =1

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