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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
In how many ways can a dance committee of 15 students be chosen?

36C15 = 36%21%2F%2815%21%2A21%21%29 = 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