The chair of Department of Mathematics and Statistics needs to appoint a faculty committee consisting of 5

mathematics and 6 statistics faculty. There are 20 mathematics and 15 statistics faculty memebers in the department.

(a) In how many ways can he select such a committee? [Note: set up a numerical expression using fractions, factorials, and binomial coefficients as necessary; you don’t have to evaluate it.]

(b) What is the probability that randomly selected 11 people will actually form such a committee? [Note: set up a numerical expression using fractions, factorials, and binomial coefficients as necessary; you don’t have to evaluate it.]

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