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DJ Sam is making a playlist for an mp3 player; he is trying to decide what...

DJ Sam is making a playlist for an mp3 player; he is trying to decide what 9 songs to play and in what order they should be played. If he has his choices narrowed down to 24 reggae, 24 jazz, and 14 pop songs, and he wants to play an equal number of reggae, jazz, and pop songs, how many different playlists are possible?

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