document.write( "Question 1186635: How many ways can 6 people sit together in a row
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document.write( "a) If two people sit together?
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document.write( "b) How many ways can 6 people sit in a circle of two people sit together?\r
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document.write( "Please explain my second homework question to me. Thank you!
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Algebra.Com's Answer #817575 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "How many ways can 6 people sit together in a row \n" ); document.write( "a) If two people sit together? \n" ); document.write( "b) How many ways can 6 people sit in a circle of two people sit together?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Please explain my second homework question to me. Thank you! \n" ); document.write( "~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In part b), the correct ANSWER is 2*4! = 2*24 = 48 different possible ways.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Again, we consider these two persons as one unit and place them as a reference unit.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then we order/permute the remaining 6 - 2 = 4 persons in 4! = 24 ways.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We multiply the number 24 by two, since there are two way to order that two persons, who are sitting together.\r\n" ); document.write( "\r \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, 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( " \n" ); document.write( " |