Dj lorraine is making a playlist for a radio show; 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 19 rock, 14 pop, and 21 blues songs, and she wants to play an equal number of rock, pop, and blues songs, how many different playlists are possible? express your answer in scientific notation rounding to the hundredths place.