Finite: College Math

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A student wants to buy 3 CDs, but assume that there are 6 CDs featuring the piano,
4 CDs featuring the trumpet, and
7 CDs featuring the saxophone. In how many ways can the selection be made if
CD's featuring at least 2 different instruments
are selected?

  • Finite: College Math -

    We want selections of the kind
    PP?
    SS?
    TT?

    1. 2 piano, one non-piano --> C(6,2)*C(11,1) = 15(11) = 165
    2. 2 trumpet, one non-trumpet --> C(4,2)*(C(13,1) = 78
    3. 3 sax, one non-sax --> C(7,2)*C(10,1) = 210

    number of selections = 165+78+210 = 453

  • Finite: College Math -

    453

  • Finite: College Math -

    wrong answer.

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