Question

You have different video games. How many different ways can you arrange the games side by side on a​ shelf? You can arrange the different video games in nothing different ways.

Answer 1

See Explanation below

Explanation:

This question has missing details because the number of video games is not stated;

However, you'll arrive at your answer if you follow the steps I'll highlight;

The question requests for the number of arrangement; That means we're dealing with permutation

Let's assume the number of video games is n;

To arrange n games, we make use of the following permutation formula;

`^nP_n = (n!)/((n-n)!)`

Simplify the denominator

`^nP_n = (n!)/(0!)`

0! = 1; So, we have

`^nP_n = (n!)/(1)`

`^nP_n = n!`

Now, let's assume there are 3 video games;

This means that n = 3

`^3P_3 = 3!`

`^3P_3 = 3 * 2 * 1`

`^3P_3 = 6\ ways`

So, whatever the number of video games is; all you have to do is; substitute this value for n;