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# 10-3 - 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 no more than 3 blues songs, how many different playlists are possible? Write your answer in scientiﬁc notation. To ﬁnd the total number of different combinations of songs, we ﬁrst calculate the product 6Cx - lle for each scenario. The sum of these products will be the number of different combinations of songs that can be chosen. Therefore, the number of different combinations of 13 songs for the playlist is calculated as follows. C C +5C1' 0'2113 C 6 21 -C-C+6C3-C 12— 5 2 2111 2110 = (1)(203490)~(6)(293930)+(15)(352716)+(20)(352716) = 203490 + 1%3580 + 5290740 + 7054320 = 14312130 ...
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