why 0! = 1. Idk it seems counterintuitive.

Question

Title

In: Mathematics

Answer 1

n!/n = (n-1)!

1!/1 = 0! = 1

2! = 3^0 * 2* 1

1! = 3^0 * 2^0 * 1

0! = 3^0 * 2^0 * 1^0

I could include more natural numbers, all raised to the 0 power, but this is the basic idea behind an “empty product”