An English teacher needs to pick 10 books to put on her reading list for the next school year, and she needs to plan the order in which they should be read. She has narrowed down her choices to 3 novels, 5 plays, 8 poetry books, and 7 nonfiction books. If she wants to include no more than 3 plays, how many different reading schedules are possible? Express your answer in scientific notation rounding to
the hundredths place