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1) (3+3+3+3) Suppose a committee of UW students is holding a meeting. The committee members are 2 Math students, 7 Engineering students, and 1 Arts

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1) (3+3+3+3) Suppose a committee of UW students is holding a meeting. The committee members are 2 Math students, 7 Engineering students, and 1 Arts student. They decide to sit in a row taking seats at random. a) How many different ways can the students sit if the students in the same faculty are indistinguishable? b) Find the probability that the first and last students in the row come from different faculties. C) Find the probability that the 2 math students are sitting next to each other. Find the probability that the Arts student is sitting on either end of the row

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