document.write( "Question 1134327: An English teacher needs to pick 10 books to put on her reading list for the
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document.write( "next school year, and she needs to plan the order in which they should be
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document.write( "read. She has narrowed down her choices to 5 novels, 5 plays, 4 poetry
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document.write( "books, and 7 nonfiction books.\r
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document.write( "Step 2 of 2 : If she wants to include all 4 poetry books, how many
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document.write( "different reading schedules are possible? Express your answer in scientific
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document.write( "notation rounding to the hundredths place. \n" );
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Algebra.Com's Answer #751710 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! An English teacher needs to pick 10 books to put on her reading list for the \n" ); document.write( "next school year, and she needs to plan the order in which they should be \n" ); document.write( "read. She has narrowed down her choices to 5 novels, 5 plays, 4 poetry \n" ); document.write( "books, and 7 nonfiction books.\r \n" ); document.write( "\n" ); document.write( "Step 2 of 2 : If she wants to include all 4 poetry books, how many different \n" ); document.write( "reading schedules are possible? Express your answer in scientific notation \n" ); document.write( "rounding to the hundredths place. \n" ); document.write( " \r\n" ); document.write( "She wants to pick 10 books. She picks all 4 poetry books and therefore needs\r\n" ); document.write( "to pick 6 more from the 5+5+7=17 other (non-poetry) books.\r\n" ); document.write( "\r\n" ); document.write( "So she can pick the remaining 6 (non-poetry) books in (17 CHOOSE 6) = 17C6\r\n" ); document.write( "= 12376 ways.\r\n" ); document.write( "\r\n" ); document.write( "For each of the 12376 ways to pick the 10 books to read, she can arrange the\r\n" ); document.write( "order to read them in -- in (10 POSITION 10)=10P10=10!=3628800 ways.\r\n" ); document.write( "\r\n" ); document.write( "Answer: (17C6)(10!)=12376*3628800 = 4.49×1010\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |