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 \(7\) people on the team. In how many ways can I select the team to have 3 boys and \(4\) girls?
+2668 There are \({6 \choose 3 }= 20\) ways to choose 3 boys for the team
There is \({8 \choose 4} = 70\) ways to choose 4 girls for the team
Thus, there are \(20 \times 70 = \color{brown}\boxed{1400}\) ways to choose 3 boys and 4 girls for the team.
