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10-6 - DJ Ali is making a playlist for a website she is...

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Unformatted text preview: DJ Ali is making a playlist for a website; she is trying to decide what 13 songs to play and in what order they should be played. If she has her choices narrowed down to 8 reggae, 6 blues, 6 hip—hop, and 7 rock songs, and she wants to play all 7 rock songs, how many different playlists are possible? Write your answer in scientific notation. The number of ways to choose all 7 out of 7 rock songs is 7! 7' 7! — —1_ C _ 7!(7—7)! _ 7m! m1) 7 7 The number of ways to choose the other 6 songs needed from the remaining 20 song choices is 20! C 5: — =38760. 6!(20—6)! 20 ...
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