document.write( "Question 1138418: There are 8 swimmers in a race. In how many ways can they finish if there are no dead heats and the swimmer in Lane 2 finished after the swimmer in Lane 5?\r
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document.write( "I'm not quite sure how to solve this. Any help would be appreciated \n" );
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Algebra.Com's Answer #756242 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " This problem has unexpected and beautiful solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The number of permutations where #2 goes before #5 is exactly equal to the number of permutations where #2 goes AFTER #5,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "so each of these numbers is half of 8!, which is the total number of all permutations of 8 objects.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 3*4*5*6*7*8 =\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |