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?

Answer 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

Answer 2

1890