document.write( "Question 944803: A total of 72 different two-item outfit permutations can be created from a pile of clothes containing\r
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document.write( "A. 2 garments
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document.write( "B. 8 garments
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document.write( "C. 9 garments
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document.write( "D. 10 garments \n" );
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Algebra.Com's Answer #576140 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "We can choose the first item in n ways.\r\n" ); document.write( "\r\n" ); document.write( "For each of those n ways to choose the first item,\r\n" ); document.write( "we can choose the second item any of the n-1 remaining ways.\r\n" ); document.write( "\r\n" ); document.write( "That's n(n-1) ways.\r\n" ); document.write( "\r\n" ); document.write( "For that number to be 72 the solution would be the solution\r\n" ); document.write( "to the equation\r\n" ); document.write( "\r\n" ); document.write( " n(n-1) = 72\r\n" ); document.write( "\r\n" ); document.write( " nē - n = 72 \r\n" ); document.write( "\r\n" ); document.write( " nē - n - 72 = 0\r\n" ); document.write( "\r\n" ); document.write( "(n - 9)(n + 8) = 0\r\n" ); document.write( "\r\n" ); document.write( "n-9=0; n+8=0\r\n" ); document.write( " n=9; n=-8\r\n" ); document.write( "\r\n" ); document.write( "Ignore the negative answer.\r\n" ); document.write( "\r\n" ); document.write( "Solution: 9 garments.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |