Prove that (n!)! is divisible by (n!)^(n-1)!
first try playing with n=2 then n=3 then n=4 and see if you can find a pattern and only evaluate the n! itself not everything to see the pattern
(2!)! = 2! and (3!)! = 6! and (4!)!=24! vs (2!)^(1!)= 2^1 ...
Next I think you need to use induction to prove it.
Are you familiar with multinomial coefficients??
Separate names with a comma.