An English teacher needs to pick 10 books to put on his reading list for the...

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An English teacher needs to pick 10 books to put on his reading list for the...

An English teacher needs to pick 10 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 5 novels, 6 plays, 6 poetry books, and 8 nonfiction books.

Step 1 of 2 :

If he wants to include no more than 2 nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.

math Statistics-And-Probability

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Answer 1

Answer #1

Step 1 of 2 : number of different reading schedules

=N(select 0 non fiction and 10 from remaining 17 books and then arrange)+N(select 1 non fiction and 9 from remaining 17 books and then arrange)+N(select 2 non fiction and 8 from remaining 17 books and then arrange)=¹⁷C₁₀*10! +⁸C₁*¹⁷C₉*10!+⁸C₂*¹⁷C₈*10!=3246353510400

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Answer 2

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