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There are 10 CS students, 12 CPRE students and 8 SE students, to form a committee. (a)...

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There are 10 CS students, 12 CPRE students and 8 SE students, toform a committee.

(a) How many different committees of size 3 can you pick if youneed one representative from each program?

(b) How many different committees of size 2 can you pick if youcannot pick both representatives from the same program?

(c) In how many ways can you pick a president, a secretary, anda treasurer from the group of students if they cannot all be CSstudents?

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