SOLUTION: 7 freshmen, 9 sophomores, 6 juniors, and 8 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up

Algebra ->  Probability-and-statistics -> SOLUTION: 7 freshmen, 9 sophomores, 6 juniors, and 8 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up       Log On


   

Question 1142716: 7 freshmen, 9 sophomores, 6 juniors, and 8 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors?
Answer by greenestamps(13209) About Me  (Show Source):
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In choosing 14 of the 28 students, we need to choose 2 of the 7 freshmen, 3 of the 9 sophomores, 4 of the 6 juniors, and 5 of the 8 seniors:

P+=+%28C%287%2C2%29%2AC%289%2C3%29%2AC%286%2C4%29%2AC%288%2C5%29%29%2FC%2828%2C14%29

Use a calculator.