SOLUTION: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 9 sophomores, 7 juniors, and 8 seniors are eligible to be on the commi

Question 1069727: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 9 sophomores, 7 juniors, and 8 seniors are eligible to be on the committee, in how many ways can the committee be chosen?

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

5 freshmen, choose 2 = 5C2 = 10 ways

times

9 sophomores, choose 3 = 9C3 = 84 ways

times

7 juniors, choose 4 = 7C4 = 35 ways

times

8 seniors, choose 5 = 8C5 = 56 ways

Answer = (5C2)(9C3)(7C4)(8C5) = (10)(84)(35)(56) = 1646400 ways.

Edwin

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