Question

Professor Snarff says, "You may work these six problems in any order you choose." There are 100 students in the class. Is it possible for all 100 students to work the problems in a different order?

Answer 1

Since the number of ways the questions can be worked is greater than the number of students, `720>100`, yes, each student can work the problems in a different order.

Explanation:

The first question we need to ask is what is the number of ways the 6 problems can be worked. We can find that number by taking the factoral:

`6! = 720`

Since the number of ways the questions can be worked is greater than the number of students, `720>100`, yes, each student can work the problems in a different order.