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

Question

(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?

Answer 1

I did one of these, you can figure out the next one.