Asked by shannon
DJ Jacqueline is making a playlist for an mp3 player; she is trying to decide what
12
12
songs to play and in what order they should be played. If she has her choices narrowed down to
21
blues,
13
reggae, and
25
hip-hop songs, and she wants to play an equal number of blues, reggae, and hip-hop songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.
12
12
songs to play and in what order they should be played. If she has her choices narrowed down to
21
blues,
13
reggae, and
25
hip-hop songs, and she wants to play an equal number of blues, reggae, and hip-hop songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.
Answers
Answered by
Steve
So, you want 4 of each kind.
Pick any set of 4 from each kind, and then there will be 12! ways to play them.
21C4 * 13C4 * 25C4 * 12! = 2.593*10^19
Pick any set of 4 from each kind, and then there will be 12! ways to play them.
21C4 * 13C4 * 25C4 * 12! = 2.593*10^19
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