Proof: Zero Factorial Equals One

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how to prove that 0! = 1
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when you want to calculate 3! you multiply 3 with 2 and 1 but not 0
then 3! = 3*2*1 = 6
if you want to use your equation then it will be like this:
1! = 1*(1-1) = 0
2! = 2*(2-1)*(2-2) = 0
3! = 3*(3-1)*(3-2)*(3-3) = 0
and this logic is wrong
because you cannot minus the original number from itself because if you did you will always get 0
so this is means it should be (n-1)>0 and (1-1) is 0 so you cannot multiply it with 1
so
1! = 1*1 = 1
2! = 2*1 = 2
3! = 3*2*1 = 6
I do not how fac0 equals 1
but I think it is not as what you explained because 1*(1-1) = 1*0 = 0 not 1 then 0! = 0 if 0! = 1*(1-1) but 0! is equals 1 not 0 so the equation is wrong

emranalgallal
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I bet quite a few of the people who disliked this know that it's not a proof.

NeverANiall
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Why do actually some people claim this is not a proof?

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