document.write( "Question 1206563: Suppose a designer has a palette of 11 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.\r
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document.write( "How many possible flags can be created? \n" );
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Algebra.Com's Answer #852189 by ikleyn(52777)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Suppose a designer has a palette of 11 colors to work with, and wants to design \n" ); document.write( "a flag with 4 vertical stripes, all of different colors.\r \n" ); document.write( "\n" ); document.write( "How many possible flags can be created? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "First vertical strip can be any of 11 colors.\r\n" ); document.write( "\r\n" ); document.write( "Second vertical strip can be any of remaining 10 colors.\r\n" ); document.write( "\r\n" ); document.write( "Third vertical strip can be any of remaining 9 colors.\r\n" ); document.write( "\r\n" ); document.write( "Fourth vertical strip can be any of remaining 8 colors.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the total number of differently colored flags is the product\r\n" ); document.write( "of four integer numbers, starting from 11, in descending order\r\n" ); document.write( "\r\n" ); document.write( " 11*10*9*8 = 7920. <<<---=== ANSWER\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( " |