Solve the problem.
-There are 11 essay questions on a test. Students must select 3 questions to write essays on. In how many ways can the 3 questions be chosen?
A) 990
B) 172
C) 165
D) 163

Question

Quizplus · Accepted Answer

The number of ways to choose 3 questions out of 11 is calculated using the combination formula, which is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial. Here, n=11 and k=3, so C(11, 3) = 11! / [3!(11-3)!] = 11! / (3!8!) = (11*10*9) / (3*2*1) = 165.

Solve the Problem. -There Are 11 Essay Questions on a Test. Students Must