# Math Help - Problem with Binomial Coefficients

1. ## Problem with Binomial Coefficients

Hi everybody,

Has somebody any idea why the following is true....?

Which rules are applied here?

Thank you very much for any help!

2. ## Re: Problem with Binomial Coefficients

Originally Posted by Marmy
Has somebody any idea why the following is true....?
Suppose that we have $m\text{ men and }n\text{ women}.$
If we want to select a committee of $k$ can that be done in $\sum\limits_{i = 0}^k {\binom{m}{k-i}\binom{n}{i}$ ways?

3. ## Re: Problem with Binomial Coefficients

Thanks, very helpful again. I think I understand now!