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

Answer:

See Explanation below

Step-by-step 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;

$^nP_n = \frac{n!}{(n-n)!}$

Simplify the denominator

$^nP_n = \frac{n!}{0!}$

0! = 1; So, we have

$^nP_n = \frac{n!}{1}$

$^nP_n = n!$

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;