SOLUTION: 6 freshmen, 6 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee. In how many ways can a dance committee of 14 students be chosen if it is to consist of exac

SOLUTION: 6 freshmen, 6 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee. In how many ways can a dance committee of 14 students be chosen if it is to consist of exac

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Question 1068313: 6 freshmen, 6 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee.
In how many ways can a dance committee of 14 students be chosen if it is to consist of exactly 2 juniors and exactly 3 seniors, and the rest must be freshman or sophomores?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The number is 7C2*6C3*12C9, combining freshmen and sophomores
That is 21*20*220
420*220=92400
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