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Question 8 of 11, Step 1 of 1 Correct An English teacher needs to pick 9 books t

ID: 3046171 • Letter: Q

Question

Question 8 of 11, Step 1 of 1 Correct An English teacher needs to pick 9 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 cholces to 9 novels, 19 plays, and 18 nonfiction books. if he wants to include an equal number of novels, plays, and nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place. Answer Tables Keypad x10

Explanation / Answer

Ans:

We can choose 3 novels out of 9 novels in 9C3 ways.

We can choose 3 plays out of 19 plays in 19C3 ways.

We can choose 3 nonfiction out of 18 nonfiction in 18C3 ways.

hence,possible number of ways to choose equal number of books=9C3*19C3*18C3

=(9*8*7/3*2*1)*(19*18*17/3*2*1)*(18*17*16/3*2*1)

=84*969*816

=66419136 ways

=6.64*107

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