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7 freshmen, 6 sophomores, 9 juniors, and 8 seniors are eligible to be on a committee....

7 freshmen, 6 sophomores, 9 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?
Round your answer to 6 decimal places as needed.

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