document.write( "Question 731856: There are 6 boys,6 girls and 2 canoes.How many arrangements are possible where there are 3 boys in 1 canoe and 3 girls in the other canoe. Answer in book says 200? \n" ); document.write( "

Algebra.Com's Answer #852979 by ikleyn(53418) $\"\"$ $\"About$

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\n" ); document.write( "There are 6 boys,6 girls and 2 canoes. How many arrangements are possible
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\n" ); document.write( "\n" ); document.write( "        In this problem, we consider the boys as distinguishable persons.\r
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\n" ); document.write( "\n" ); document.write( "        We also consider the girls as distinguishable persons.\r
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\n" ); document.write( "\n" ); document.write( "        We also consider canoes as distinguishable items.\r
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document.write( "First, we select 3 boys from 6 boys to place them into the 1st canoe.\r\n" );
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document.write( "It can be done in  C(6,3) =  = 12 different ways  (combinations).\r\n" );
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document.write( "After that, three remaining boys automatically go to the 2nd canoe.\r\n" );
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document.write( "        The same with the girls.\r\n" );
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document.write( "We select 3 girls from 6 girls to place them into the 1st canoe.\r\n" );
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document.write( "It can be done in  C(6,3) =  = 12 different ways  (combinations).\r\n" );
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document.write( "After that, three remaining girls automatically go to the 2nd canoe.\r\n" );
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document.write( "Thus the number of all possible arrangements is 12 * 12 = 144.\r\n" );
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document.write( "ANSWER.  144 different arrangements are possible under accepted assumptions.\r\n" );
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document.write( "No one more and no one less than that.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, with explanations.\r
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