Question

7. How many different ways can a class of 22 second graders line up to go to lunch?

Answer 1

The number of different ways are 22! or 1,124,000,727,777,607,680,000.

Explanation:

Consider the provided information.

We need to determine the number of different ways can a class of 22 second graders line up.

We need to select 22 second graders while taking 22 at a time.

So use the permutation formula:
`^(n)P_(n)`

Substitute n=22 and simplify.

`^(22)P_(22)=(22!)/((22-22)!)\\22!=1,124,000,727,777,607,680,000`

Hence, the number of different ways are 22! or 1,124,000,727,777,607,680,000.