Suppose there are 35 students in a class.

Question

Suppose there are 35 students in a class. The teacher wants to give a multiple choice quiz. He wants to give the same questions to every student, but each student is to have a different oder. What is the smallest number of questions the quiz can have?

Answer 1

n! ≥ 35

 

4! = 24

5! = 120

 

The quiz must have at least five different questions.