Same principle goes for why taking a number to the zeroth power = 1— Dmitri Petrov (@PetrovADmitri) June 24, 2019
10^3=1000
10^2=100
10^1=10
10^0=?
I've always liked— Phillip Compeau (@PhillipCompeau) June 24, 2019
n! = n*(n-1)!
So
(n-1)! = n!/n
And so it must be that
0! = 1!/1 = 1
https://mathsedideas.blogspot.com/p/resources.html#RAMs