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 1145675: 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):
The denominator of the probability fraction is the total number of ways of choosing 14 of the total 31 students: 31C14.
For the numerator, you need to choose 2 of the 8 freshmen AND 3 of the 10 sophomores AND 4 of the 6 juniors AND 5 of the 7 seniors: (8C2)*(10C3)*(6C4)*(7C5)
