SOLUTION: what is the solution to 6 freshmen, 7 sophomores, 7 juniors, and 7 seniors are eligible to be on a committee. In how many ways can a dance committee of 10 students be chosen i

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Question 1085955: what is the solution to
6 freshmen, 7 sophomores, 7 juniors, and 7 seniors are eligible to be on a committee.
In how many ways can a dance committee of 10 students be chosen if it is to consist of exactly 3 juniors and exactly 2 seniors, and the rest must be freshman or sophomores?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
It is 7C3*7C2*13C5
The first part are ways to choose 3 juniors out of 7, the second 2 seniors out of 7, and the last choosing 5 freshmen or sophomores out of 13.
This product=35*21*1287=945,945

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