Question

Ian wants to arrange his top five favorite video games in order. how many arrangements can he make if he has 20 video games?

explain your answer

Answer 1

Explanation:

Ian can arrange his top five favorite video games in 1,860,480 different ways if he has 20 video games.

To calculate the number of arrangements, we can use the formula for permutations:

`P(n,r)=(n!)/((n-r)!)`

Ian has 20 video games to choose from, and he wants to arrange his top five favorite games.

So, the number of permutations of 20 objects taken 5 at a time is:

P(20,5)=(20−5)!20!​=20×19×18×17×16=1,860,480

Therefore, Ian can arrange his top five favorite video games in 1,860,480 ways.