Dj giovanni is making a playlist for a friend; he is trying to decide what 12 songs to play and in what order they should be played. if he has his choices narrowed down to 22 country, 11 reggae, and 5 pop songs, and he wants to play an equal number of country, reggae, and pop songs, how many different playlists are possible? express your answer in scientific notation rounding to the hundredths place.