math statistics

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 5 novels, 5 plays, 4 poetry books, and 7 nonfiction books.

Step 2 of 2 : If she wants to include all 4 poetry books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.

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  1. help me pls

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  2. there are 17C6 ways of choosing the books to go with the 4 poetry books

    there are 10! ways of arranging the books in a reading schedule

    17C6 * 10! = ?

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  3. where did the 6 come from in "17C6"?

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