Factorials approximation problem

[karnten07]

Homework Statement

How is,

[(N+Q)!Q!]/[(Q+1)!(N+Q-1)!] equal to (N+Q)/(Q+1) when N,Q>>1 ??

It looks like the Q!/(N+Q-1)! cancels but i don't see how, I am going from my lecturers notes here.

Homework Equations

The Attempt at a Solution

 

[TheoMcCloskey]

Break it up - look at the fraction as

\frac{Q!}{(Q+1)!} \cdot \frac{(N+Q)!}{(N+Q-1)!}

For the first fraction, ask yourself "what number you would multiply Q! by to get (Q+1)!"?

Do a similar analysis for the second fraction.