DJ Lorraine is making a playlist for a friend; she is trying to decide what 10 songs to play and in what order they should be played. If she has her choices narrowed down to 7 blues, 6 disco, 7 pop, and 8 jazz songs, and she wants to play no more than 2 pop songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.