DJ Jacqueline is making a playlist for an mp3 player; she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 9 reggae, 9 jazz, and 16 blues songs, and she wants to play an equal number of reggae, jazz, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.