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  • A music streaming service has 10 different playlists, and a user wants to create a custom playlist by selecting 5 songs from any of the 10 playlists. How many different custom playlists can the use

A music streaming service has 10 different playlists, and a user wants to create a custom playlist by selecting 5 songs from any of the 10 playlists. How many different custom playlists can the user create?

Option: 1

255
 


Option: 2

230


Option: 3

252

 


Option: 4

230


Answers (1)

best_answer

This is a combination problem since the order of the songs doesn't matter. We need to select 5 songs from a total of 10 playlists, so the number of combinations is:

{ }^{10} C_5=\frac{10 !}{5 ! 5 !}=252

Therefore, the user can create 252 different custom playlists.

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mansi

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