SOLUTION: 8 freshmen, 10 sophomores, 6 juniors, and 7 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
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-> SOLUTION: 8 freshmen, 10 sophomores, 6 juniors, and 7 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
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Question 1142715: 8 freshmen, 10 sophomores, 6 juniors, and 7 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(13200) (Show Source):
From the basic definition of probability, the numerator is the number of ways of choosing 2 of the 8 freshmen AND 3 of the 10 sophomores AND 4 of the 6 juniors AND 5 of the 7 seniors. The denominator is the number of ways of choosing 14 of the total 31 students:
