In choosing what music to play at a charity fund raising event, Cory needs to have an equal number of piano sonatas from Haydn, Mozart, and Schubert. If he is setting up a schedule of the 15 piano sonatas to be played, and he has 52 Haydn, 18 Mozart, and 21 Schubert piano sonatas from which to choose, how many different schedules are possible? Express your answer in scientific notation rounding to the hundredths place.