Question

you have 6 different video games. how many different ways can you arrange the games side by side on a shelf?

you can arrange the 6 different video games in different ways.

Explanation:

Identify the arrangement type

Using the Permutations vs Combinations knowledge point

$$ \text{Since the order of arrangement on a shelf matters, this is a permutation problem.} $$

Apply the counting principle

Using the Fundamental Counting Principle and Combinatorics knowledge points

$$ N = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 $$

Calculate the final value

Using the Combinatorics knowledge point

$$ N = 720 $$

Answer:

You can arrange the 6 different video games in <blank>720</blank> different ways.