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

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

Solution

Solution Steps

Step 1: Understand the Problem

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.

Step 2: Apply the Formula

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 \(n\).

Step 3: Calculate the Factorial

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