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Assume that the committee consists of 8 Republicans and 6 Democrats. A subcommittee consisting of 7 people is to be selected. How many such subcommittees are possible if each subcommittee must contain at least 1 and no more than 3 Democrats?

  • Math - ,

    Do it like the other question I just showed you.
    This time I see 3 cases:
    1. one Democrat
    2. two Democrats
    3. three Democrats

    I'll do #2
    no. of selections = C(6,2) * C(8,5) = 15*56 = 840

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