Answer :
The number of various playlists that can be created is 2.3974 x [tex]10^{12}[/tex]
Given that,
She is considering which 12 songs to play and what order to play them in. if she has limited her options to 3 jazz, 6 blues, 7 disco, and 5 country music, and she wants to play all 6 blues songs, this is the second of two steps.
To find that :
How many different ways are there to choose 12 songs—3 jazz, 6 blues, 7 disco, and 5 country—so that all 6 blues are chosen?
6C6 x Number of methods to select the last 6 songs from 3 jazz, 7 disco, and 5 country tracks
= 6C6 x 15C6
= 1 x 5005
= 5005
The number of playlists that can be created is equal to the number of song combinations times the number of possible arrangements.
= 5005 x 12!
= 2.3974 x [tex]10^{12}[/tex]
As a result, there are 2.3974x distinct ways to generate different playlists.
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