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

Algebra ->  Permutations -> 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      Log On


   

Question 1068610: 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 Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
7 juniors, choose 2 = 7C2

times

6 seniors, choose 3 = 6C3

times

6+6=12 freshmen and sophomores, choose the remaining 9 = 12C9

(7C2)(6C3)(12C9) = (21)(20)(220) = 92400

Edwin