Posted by **Bryan** on Thursday, January 26, 2012 at 9:04pm.

Assume that the committee consists of 5 Republicans and 7 Democrats. A subcommittee consisting of 6 people is to be selected.

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

(1) How many such subcommittees are possible if each subcommittee must contain at least 1 and no more than 3 Democrats?

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