2.3974x[tex]10^{12}[/tex] are the number of ways that different playlists are possible
Number of ways in which 12 songs can be selected from 3 jazz, 6 blues, 7 disco and 5 country songs such that all 6 blues are selected
= 6C6 x Number of ways from 3 jazz, 7 disco, and 5 country tracks to choose the final 6 songs
= 6C6 x 15C6
= 1 x 5005
= 5005
Number of playlists possible = Number of song combinations x Number of orders in which they can be arranged
= 5005 x 12!
= 2.3974x[tex]10^{12}[/tex]
Consequently, there are 2.3974x[tex]10^{12}[/tex] numerous methods in which different playlists can be created.
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