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There are 100 students at a school and three dormitories a

There are 100 students at a school and three dormitories, A, B, and C, with capacities 25, 35, and 40, respectively.

(a) How many ways are there to assign students to the dormitories?

(b) Suppose that, of the 100 students, 50 are men and 50 are women. Also suppose that A is a all-men's dorm, B is an all-women's dorm, and C is co-ed. Now how many ways are there to assign students to the dormitories?

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Basic Computer Science: There are 100 students at a school and three dormitories a

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