Question

At a track meet , 10 different runners compete in the 1600m run.

How many different ways are there for the runners to finish? Show your work for full credit.

Answer 1

There are 3,628,800 different ways for the runners to finish.

Explanation:

Arrangments of x elements:

The number of possible arrangments of x elements is given by the following formula:

`A_(x) = x!`

In this question:

10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So

`A_(10) = 10! = 3628800`

There are 3,628,800 different ways for the runners to finish.