Hi, I'm trying to simplify this but I get stuck at some point.

it goes 1/n! * C(n,2) * P(n,n-2)

which yields:

1/n! * n!/2!(n-2)! * n!/(n - (n-2))!

which so far I have reduced down to

2! * (n-2)! * n! / (n - (n - 2))!

Is this correct? help with further simplification? Thank you!