How many ways can a student select five questions from an exam containing 12 questions, if one of the five must be the last question?
A) 7920
B) 40,320
C) 330
D) 95,040

Question

Quizplus · Accepted Answer

Since one of the five questions must be the last question, the student only needs to choose 4 questions out of the remaining 11. This can be done in $ \binom{11}{4} = 330 $ ways.

How Many Ways Can a Student Select Five Questions from an Exam