DJ Davon is making a playlist for a website; he is trying to decide what 15 songs to play and in what order they should be played. If he has his choices narrowed down to 12 hip-hop, 9 rock, and 6 blues songs, and he wants to play an equal number of hip-hop, rock, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.