document.write( "Question 1193209: A team is being formed that includes 6 different people. There are six different positions on the
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document.write( "teams. How many ways are there to assign the six people to the six positions?
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Algebra.Com's Answer #825218 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "From the context, all 6 people are equally qualified to take any of the 6 position.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, any of the 6 people for the first position;\r\n" ); document.write( "\r\n" ); document.write( "any of remaining 5 people for the second position;\r\n" ); document.write( "\r\n" ); document.write( "any of remaining 4 people for the third position,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( ". . . and so on . . . \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "giving 6*5*4*3*2*1 6! = 720 different ways. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 6! = 720 possible permutations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is on PERMUTATIONS.\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( "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( " |