+0  
 
0
123
1
avatar

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?

 Feb 7, 2022
 #1
avatar+2453 
+1

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. 

 Feb 7, 2022

27 Online Users