Question: In the United States Senate, each state is represented by one junior senator and one senior senator. In how many ways can a committee of

In the United States Senate, each state is represented by one junior senator and one senior senator. In how many ways can a committee of five senators from the 12 Midwest states be represented if
(a) The committee must consist of two senior senators and three junior senators?
(b) No two senators from the same state can serve on the committee?

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