jmc

Question

My school's math club has 6 boys and 8 girls. I need to select a team to send to the state math competition. We want 6 people on the team. In how many ways can I select the team to have 3 boys and 3 girls?

Accepted Answer

We are picking 3 boys out of 6, so there are 63 = 20 options for the boys on the team. We are picking 3 girls out of 8, so there are 83 = 56 options for the girls on the team. This gives a total of 20 56 = 1120 choices.