Solve the problem.
-An exam consists of 9 multiple-choice questions and 6 essay questions. If the student must answer 5 of the multiple-choice questions and 3 of the essay questions, in how many ways can the questions be chosen?
A) 810
B) 2520
C) 1,814,400
D) 261,273,600

Question

Quizplus · Accepted Answer

The number of ways to choose 5 out of 9 multiple-choice questions is calculated using combinations: 9C5 = 9! / (5!(9-5)!) = 126. The number of ways to choose 3 out of 6 essay questions is calculated using combinations: 6C3 = 6! / (3!(6-3)!) = 20. To find the total number of ways to choose the questions, multiply the two results: 126 * 20 = 2520.

Solve the Problem. -An Exam Consists of 9 Multiple-Choice Questions and 6 Essay