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4. (a) (10 points) Find the generating function for the number of ways to distribute r people into 6 different rooms with between 2 and

4. (a) (10 points) Find the generating function for the number of ways to distribute r people into 6 different rooms with between 2 and 4 in each room. (b) (5 points) How many ways can 16 people be distributed into 6 different rooms with between 2 and 4 in each room

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