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College Finite

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A student wants to buy 3 CDs, but assume that there are 3 CDs featuring the piano, 5 CDs featuring the trumpet, and 3 CDs featuring the saxophone. In how many ways can the selection be made if CD's featuring at least 2 different instruments are selected?

  • College Finite - ,

    So we can't have
    TTT
    PPP
    SSS

    could have
    PST --- C(3,1) x C(3,1) x C(5,1) = 4
    PPT --- C(3,2) x C(5,1) = 15
    PPS --- C(3,2) x C(3,1) = 9
    TTP --- C(5,2) x C(3,1) = 30
    TTS --- C(5,2) x C(3,1) = 30
    SSP --- C(3,2) x C(3,1) = 9
    SST --- C(3,2) x C(5,1) = 15

    total = 108

  • College Finite - ,

    108 is not correct. Thanks for trying tho Reiny!

  • College Finite - ,

    It was a simple typo,
    in the first of the listings , it should have been

    PST --- C(3,1) x C(3,1) x C(5,1) = 45
    changing my total to 153

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