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 10 students be chosen if it is to consist of exac

Question 1049298: 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 10 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 jorel555(1290) (Show Source): You can put this solution on YOUR website!
6 seniors chosen 3 at a time is 6 choose 3, or 20 choices.
7 juniors chosen 2 at a time is 7 choose 2, or 21 choices
12 freshmen and sophomores chosen 5 at a time is 12 choose 5, or 792 choices.
20 x 21 x 792=332640 different ways the dance committee can be formed. ☺☺☺☺
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