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.

Respuesta :

Answer:

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

Step-by-step explanation:

Arrangments of x elements:

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

[tex]A_{x} = x![/tex]

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

[tex]A_{10} = 10! = 3628800[/tex]

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