Questions: You have 6 different video games. How many different ways can you arrange the games side by side on a shelf?

Solution Steps

We are given a problem to find the number of different ways to arrange \(n\) unique items in a sequence. This is a permutation problem where the order of arrangement matters.

The number of different ways to arrange \(n\) unique items in a sequence is given by the factorial of \(n\), denoted as \(n!\). The factorial function is defined as the product of all positive integers less than or equal to \(n\).

To find the number of arrangements, we calculate \(n!\) for \(n = 6\). The calculation is as follows: \(n! = 1 \times 2 \times 3 \times \cdots \times n = 720\).

Final Answer: