document.write( "Question 1193588: 1. A librarian has purchased 6 new books for the small community library in his town. 2
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document.write( "out of 6 books have the same title - The Kite Runner. The rest of the titles are given
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document.write( "as follows:
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document.write( "1. The 100-Year-Old Man Who Climbed Out the Window and Disappeared
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document.write( "2. The Girl Who Saved the King of Sweden
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document.write( "3. Crazy Rich Asians
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document.write( "4. Confessions of a Shopaholic
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document.write( "As an additional information, book 1 and book 2 above are written by the same author,
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document.write( "Jonas Jonasson. How many ways all these new books can be arranged if the books
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document.write( "written by Jonas Jonasson have to be together? \n" );
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Algebra.Com's Answer #848639 by yurtman(42)![]() ![]() ![]() You can put this solution on YOUR website! **1. Group Books by Author:**\r \n" ); document.write( "\n" ); document.write( "* Since the books by Jonas Jonasson must be together, we can treat them as a single unit. \n" ); document.write( "* So, we now have 5 units to arrange: \n" ); document.write( " * \"The 100-Year-Old Man...\" & \"The Girl Who Saved the King of Sweden\" (grouped) \n" ); document.write( " * \"Crazy Rich Asians\" \n" ); document.write( " * \"Confessions of a Shopaholic\" \n" ); document.write( " * \"The Kite Runner\" \n" ); document.write( " * \"The Kite Runner\"\r \n" ); document.write( "\n" ); document.write( "**2. Permutations of the Grouped Units:**\r \n" ); document.write( "\n" ); document.write( "* There are 5! (5 factorial) ways to arrange these 5 units. \n" ); document.write( "* 5! = 5 * 4 * 3 * 2 * 1 = 120 ways\r \n" ); document.write( "\n" ); document.write( "**3. Arrangements within the Author Group:**\r \n" ); document.write( "\n" ); document.write( "* The two books by Jonas Jonasson can be arranged among themselves in 2! (2 factorial) ways. \n" ); document.write( "* 2! = 2 * 1 = 2 ways\r \n" ); document.write( "\n" ); document.write( "**4. Total Arrangements:**\r \n" ); document.write( "\n" ); document.write( "* Total Arrangements = Permutations of Grouped Units * Arrangements within Author Group \n" ); document.write( "* Total Arrangements = 120 * 2 = 240 ways\r \n" ); document.write( "\n" ); document.write( "**Therefore, there are 240 different ways to arrange the books if the books written by Jonas Jonasson must be together.** \n" ); document.write( " \n" ); document.write( " |