Answer:
Jim can arrange the 7 songs on the playlist in 5040 different ways.
Step-by-step explanation:
Given
[tex]Songs = 7[/tex]
Required
Ways of arrangement
Since, there is no restriction and conditions.
The songs can be arranged in
[tex]Ways = 7![/tex]
This is so because each song will have a distinct position:
So, we have
[tex]Ways = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]Ways = 5040[/tex]
The number of ways that can Jim arrange the 7 songs on the playlist is 5040.
Since Suppose Jim is going to build a playlist that contains 7 songs.
So here the number of ways should be
= 7!
[tex]= 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
= 5040
hence, The number of ways that can Jim arrange the 7 songs on the playlist is 5040.
Learn more about ways here: https://brainly.com/question/24144187
