Why does 0! equal to 1?

(n-1)! = n!/n

0!
= (1-1)!
= 1!/1
= 1/1
= 1

(n + 1)! = n!(n + 1)! (n = 0)
(0 + 1)! = 0!(0 + 1)!
1! = 0!(1!)
0! = 1!/1!
0! = 1

Because of the definition of the factorial.

n! = n⋅(n − 1)!

Therefore:
n! ⁄ n = (n − 1)!

We already know that 1! = 1... thats easy enough to understand...

n! ⁄ n = (n − 1)!
1! ⁄ 1 = (1 − 1)!
1 ⁄ 1 = (0)!
0! = 1

To the best of my knowledge, 0 never equals 1, since if you have nothing, then that's 0, but if you have something then that's 1.

because 0! = 1
(note: ! <<< factorial sign there is no zero)

Surely thats impossible and it would have to equal 0.
Man thats confusing sorry.

Maybe its like the other stupid rule that any number to the power of 0 is equal to 1 = /

Waah.