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A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 5 of the multiple-choice questions and 2 of the open-ended problems, in how many ways can the questions and problems be chosen?

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2 answers

  1. ways to choose 5 of the 6 multiple choices
    = C(9,5) = 126
    number of ways to choose 2 of the 6 essay questions
    = C(6,2) = 15

    number of ways to answer the test
    = 126x15 or 1890 ways

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  2. 1890

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