document.write( "Question 1180839: Molly, Mary, Michael, and Melissa are all standing together.
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document.write( "(a) In how many ways can they be arranged in a circle? Is it (5-1)!??
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document.write( "(b) In how many ways can they be arranged in a circle if Molly and Melissa must stand together? Is it 2! x 3! ??
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document.write( "(c) In how many ways can they be arranged in a circle if Molly and Melissa can't stand together? \n" );
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Algebra.Com's Answer #810636 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) In (4-1)! = 3! = 1*2*3 = 6 different ways.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "In this problem, special type of permutations is considered: CIRCULAR permutations - - - NOT LINEAR permutations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number \" 5 \" in your post is IRRELEVANT. \n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems on CIRCULAR PERMUTATIONS, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Persons sitting around a cicular table \r \n" ); document.write( "\n" ); document.write( "in this site, and learn the subject from there.\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 lesson is 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( "////////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AVOID posting many problems/questions in one post.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "POST THEM SEPARATELY, especially if you need detailed explanations/solutions.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " One and ONLY ONE problem/question per post.\r\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the RULE, the POLICY and the REQUIREMENT of this forum.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is written in this page\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "from which you post your problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is assumed that you read these rules before posting.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is also assumed that you do understand what is written in that page and follow the rules.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those who violate them, work against their own interests.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "*******************************************************************\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " So P L E A S E post your problems S E P A R A T E L Y (!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "*******************************************************************\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |