SOLUTION: 7 people (4 boys and 3 girls) are available to play basketball. How many 5‐person teams can be made if each team must have 3 boys and 2 girls?

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Question 894521: 7 people (4 boys and 3 girls) are available to play basketball. How many 5‐person teams can be made if
each team must have 3 boys and 2 girls?
Answer by harpazo(655) About Me  (Show Source):
You can put this solution on YOUR website!
4C2 times 3C2 =


4!/2!(4-2)! times 3!/2!(3-2)!


24/2(2) times 6/2(1)


24/4 times 6/2


6 times 3 = 18

The answer is 18 five-person teams can be made.