document.write( "Question 1082985: A rectangular flag is divided into four triangles, labelled Left,
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Algebra.Com's Answer #696963 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I assume that it's this way:\r\n" );
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document.write( "Case 1: All four triangles have different colors:\r\n" );
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document.write( "There are 5 colors to choose for the LEFT triangle.\r\n" );
document.write( "There are then 4 colors remaining to choose for the RIGHT triangle.\r\n" );
document.write( "There are then 3 colors remaining to choose for the TOP triangle.\r\n" );
document.write( "There are then 2 colors remaining to choose for the BOTTOM triangle.\r\n" );
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document.write( "That's 5*4*3*2 = 5P4 = 120 ways for Case 1.\r\n" );
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document.write( "Case 2: the LEFT triangle and the RIGHT triangle are colored alike\r\n" );
document.write( "but the TOP and BOTTOM triangles are colored different.\r\n" );
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document.write( "There are 5 colors to choose for the LEFT and RIGHT triangles.\r\n" );
document.write( "There are then 4 colors remaining to choose for the TOP triangle.\r\n" );
document.write( "There are then 3 colors remaining to choose for the BOTTOM triangle.\r\n" );
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document.write( "That's 5*4*3 = 5P3 = 60 ways for Case 2.\r\n" );
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document.write( "Case 3: the TOP triangle and the BOTTOM triangle are colored alike\r\n" );
document.write( "but the RIGHT and LEFT triangles are colored different.\r\n" );
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document.write( "That's the same number as Case 2, or 60 ways.\r\n" );
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document.write( "Total for the three cases: 120+60+60 = 240 ways to color the flag.\r\n" );
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document.write( "Edwin
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