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At a certain university there are five men’s residence halls. Dorm d1 needs 10 more persons to reach capacity, d2 needs five more, and d3 needs 15 more. No students have been assigned to d4 and d5, each of which can house 100 students. If it is desired to fill up d1, d2, and d3, in how many ways can 100 new male students be assigned to these five halls?.

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