Solve the problem.
-An exam consists of 9 multiple-choice questions and 6 essay questions. If the student must answer 6 of the multiple-choice questions and 4 of the essay questions, in how many ways can the questions be chosen?
A) 1296
B) 1260
C) 21,772,800
D) 261,273,600

Question

Quizplus · Accepted Answer

The number of ways to choose 6 multiple-choice questions out of 9 is calculated using combinations: 9C6 = 9! / (6!(9-6)!) = 84. The number of ways to choose 4 essay questions out of 6 is calculated using combinations: 6C4 = 6! / (4!(6-4)!) = 15. The total number of ways to choose the questions is the product of these two combinations: 84 * 15 = 1260.

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