A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must beshown. If an examinee must answer 6 of the multiple-choice questions and 4 of the open-ended problems, inhow many ways can the questions and problems be chosen?
A) 1260
B) 1296
C) 261,273,600
D) 21,772,800

Question

Quizplus · Accepted Answer

The number of ways to choose 6 multiple-choice questions from 9 is given by the combination formula C(9,6) = 84. The number of ways to choose 4 open-ended problems from 6 is C(6,4) = 15. The total number of ways to choose the questions and problems is the product of these two combinations: 84 * 15 = 1260.

A Physics Exam Consists of 9 Multiple-Choice Questions and 6