factorial problems: simplify (n!)/((n - 1)!), etc.

[tsh44]

Hello how would you simply these factorial expressions?

a) n!/ (n-1)!

b) (n+1)!/ (n-1)!

I'm not sure where to start. Thanks.

 

[galactus]

\(\displaystyle n!=n(n-1)(n-2)(n-3)..................\)

\(\displaystyle (n-1)!=(n-1)(n-2)(n-3)..................\)

Therefore,

\(\displaystyle \frac{n\sout{(n-1)(n-2)(n-3)}......}{\sout{(n-1)(n-2)(n-3)}.......}=n\)

Try the other one using this technique.