SOLUTION: 9 freshmen, 9 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee. In how many ways can a dance committee of 15 students be chosen? In how many ways can a

Question 1154722: 9 freshmen, 9 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee.
In how many ways can a dance committee of 15 students be chosen?
In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 6 sophomores, 4 juniors, and 3 seniors.
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
In how many ways can a dance committee of 15 students be chosen?

36C15 = = 5,567,902,560

In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 6 sophomores, 4 juniors, and 3 seniors?

9C2 * 9C6 * 10C4 * 8C3 = = 36 * 84 * 210 * 56 = 35,562,240
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