Question

How do you simplify `(n!)/((n - 1)!)`?

Answer 1

`n`

Explanation:

The definition of a factorial is `n! = n(n - 1)(n - 2)(...)(1)`. To take a concrete example, we have that `3! = 3 * 2 * 1 = 6`.

Applying this definition, we have:

`(n!)/((n - 1)!) = (n(n - 1)!)/((n - 1)!) = n`

Hopefully this helps!