document.write( "Question 1192298: Find the number of permutations of 10 numbers in a spinner?
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Algebra.Com's Answer #851832 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Find the number of permutations of 10 numbers in a spinner. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I interpret the problem in different way.\r \n" ); document.write( "\n" ); document.write( " My solution and my answer are different from that by @CPhill.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "A dictionary gives me these 5 possible treatments of the term \"spinner\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1 - one that spins\r\n" ); document.write( "\r\n" ); document.write( " 2 - a fisherman's lure consisting of a spoon, blade, or set of wings that revolves when drawn through the water\r\n" ); document.write( "\r\n" ); document.write( " 3 - a conical sheet metal fairing that is attached to an airplane propeller boss and revolves with it\r\n" ); document.write( "\r\n" ); document.write( " 4 - a movable arrow that is spun on its dial to indicate the number or kind of moves a player may make in a board game\r\n" ); document.write( "\r\n" ); document.write( " 5 - spin doctor.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Of these possible treatments, I will use #4 as the most adequate to the problem.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the adequate mathematical reformulation of the problem is THIS:\r\n" ); document.write( "\r\n" ); document.write( " How many circular permutations are possible for 10 different numbers ?\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The answer is commonly/widely known:\r\n" ); document.write( "\r\n" ); document.write( " The number of different circular permutations of 10 different items is (10-1)! = 9! = 9*8*7*6*5*4*3*2 = 362880.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |