document.write( "Question 1017877: If you are given 5 red flowers and 5 yellow flowers
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document.write( " (All flowers are distinguishable)\r
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document.write( "a) How many ways can you arrange 8 of these flowers
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document.write( "in a row in a box?\r
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document.write( "b) How many ways can you arrange 8 of these flowers
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document.write( "in a row if you want the colors to alternate? \n" );
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Algebra.Com's Answer #634096 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! If you are given 5 red flowers and 5 yellow flowers \n" ); document.write( "(All flowers are distinguishable)\r \n" ); document.write( "\n" ); document.write( "a) How many ways can you arrange 8 of these flowers \n" ); document.write( "in a row in a box? \n" ); document.write( " \r\n" ); document.write( "(10 flowers Position 8) = 10P8 = 10*9*8*7*6*5*4*3 = \r\n" ); document.write( "1814400 ways.\r\n" ); document.write( " \n" ); document.write( "b) How many ways can you arrange 8 of these flowers \n" ); document.write( "in a row if you want the colors to alternate? \n" ); document.write( " \r\n" ); document.write( "There are 2 color-wise ways for them to alternate:\r\n" ); document.write( "\r\n" ); document.write( "RYRYRYRY and YRYRYRYR\r\n" ); document.write( "\r\n" ); document.write( "For each of those 2 ways, we have \r\n" ); document.write( "\r\n" ); document.write( "(5 red flowers Position 4)(5 yellow flowers Position 4)\r\n" ); document.write( "= (5P4)(5P4) ways.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 2(5P4)(5P4) = 2(120)(120) = 20800 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |