why 0! = 1. Idk it seems counterintuitive.

Question

Title

In: Mathematics

Answer 1

it’s not counterintuitive at all

4! = 24 and 3! = 6 right?

to get from 4! (24) to 3! (6) we can just divide by 4.

to get from 3! (6) to 2! (2) we can divide by 3.

to get from 2! (2) to 1! (1) we can divide by 2.

and to go from 1! to 0! we can divide by 1.

1! / 1 is equal to 1