document.write( "Question 1184483: Find the number of ways that 9 persons can arrange themselves:
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document.write( "a) around a table where two of them sit beside each other;\r
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document.write( "b) around a table (no restrictions);\r
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document.write( "c) in a row of 9 chairs. \n" );
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Algebra.Com's Answer #815083 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "a) around a table where two of them sit beside each other;\r\n" ); document.write( "\r\n" ); document.write( " 2*(9-2)! = 2*7! = 2*5040 = 10080. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "b) around a table (no restrictions);\r\n" ); document.write( "\r\n" ); document.write( " (9-1)! = 8! = 40320. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "c) in a row of 9 chairs.\r\n" ); document.write( "\r\n" ); document.write( " 9! = 362880. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On Permutations, see introductory lessons \r \n" ); document.write( "\n" ); document.write( " - Introduction to Permutations\r \n" ); document.write( "\n" ); document.write( " - PROOF of the formula on the number of Permutations\r \n" ); document.write( "\n" ); document.write( " - Simple and simplest problems on permutations\r \n" ); document.write( "\n" ); document.write( " - Persons sitting around a circular table \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II \n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |