document.write( "Question 975511: How many permutations are there in the letters
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document.write( "of the word COCKROACH \n" );
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Algebra.Com's Answer #597272 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "COCKROACH\r\n" ); document.write( "\r\n" ); document.write( "It's a 9-letter word, and if none of the letters looked alike the answer would\r\n" ); document.write( "be 9!. However there is no way to tell the difference between two arrangements\r\n" ); document.write( "that just have the C's or the O's switched around.\r\n" ); document.write( "\r\n" ); document.write( "So we must divide 9! by the number of ways the 3 C's can be rearranged within\r\n" ); document.write( "any given permutation, which is 3!, and also we must divide by the number of\r\n" ); document.write( "ways the 2 O's can be swapped, which is 2!.\r\n" ); document.write( "\r\n" ); document.write( "Answer:\n" ); document.write( " |