Originally Posted by

**Jones** Hi,

I have this problem that i can't get right.

A team of 5 people are selected to participate in a chess tournament.

The "team" is picked within a school class with 17 boys and 13 girls. The rules state that the team must consist of at least 2 boys and 2 girls.

In how many ways can the team be selected?

So i thought this would be as simple as:

Either 2 boys and 3 girls or 3 boys and 2 girls.

$\displaystyle (17*16*15/3) * (13*12/2)*(13*12*11/3)*(17*16/2)$

That is incorrect though...

Any ideas on how to do this?