DJ Francis is making a playlist for work; he is trying to decide what 10 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 8 blues, 4 rock, 8 jazz, and 5 disco songs, and he wants to play no more than 3 jazz songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.