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.
[tex](17*16*15/3) * (13*12/2)*(13*12*11/3)*(17*16/2)[/tex]
That is incorrect though...
Any ideas on how to do this?