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Assume that the committee consists of 7 Republicans and 7 Democrats. A subcommittee consisting of 5...

Assume that the committee consists of 7 Republicans and 7 Democrats. A subcommittee consisting of 5 people is to be selected.

1) How many such subcommittees are possible if each subcommittee must contain exactly 3 Republicans and 2 Democrats?

2) How many such subcommittees are possible if each subcommittee must contain at least 1 and no more than 2 Democrats?

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