document.write( "Question 1200111: Suppose a business owner has a choice of 5 locations in which to establish her business. She
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document.write( "decides to rank them from best to least according to certain criteria. How many different
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document.write( "ways can she rank them? \n" );
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Algebra.Com's Answer #834141 by ikleyn(52847)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "5 different items can be ordered in 5! = 5*4*3*2*1 = 120 different ways.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Any of 5 items can be placed in 1st position.\r\n" ); document.write( "\r\n" ); document.write( "Any of remaining 4 items can be placed in 2nd position.\r\n" ); document.write( "\r\n" ); document.write( "Any of remaining 3 items can be placed in 3rd position.\r\n" ); document.write( "\r\n" ); document.write( "Any of remaining 2 items can be placed in 4th position.\r\n" ); document.write( "\r\n" ); document.write( "The last remaining item can be placed in the last, 5th position.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Counting this way, you get the formula and the value.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\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( " This problem is on PERMUTATIONS.\r \n" ); document.write( " \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( " - Special type permutations problems \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Learn the subject from there ( ! )\r \n" ); document.write( " \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( " |