document.write( "Question 1160371: Find the number of ways of permutation the word hell such that the 2ls will always be together
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Algebra.Com's Answer #783657 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if you want to have the L's be together, then treat them as one. \n" ); document.write( "your permutation becomes 3! rather than 4!. \n" ); document.write( "3! = 3 * 2 * 1 = 6 ways this can happen. \n" ); document.write( "the ways are: \n" ); document.write( "HELL \n" ); document.write( "EHLL \n" ); document.write( "HLLE \n" ); document.write( "ELLH \n" ); document.write( "LLEH \n" ); document.write( "LLHE \n" ); document.write( "since this is a permutation, and not a combination, each set is considered different, even though each may contain the same letters, since order is important in a permutation, while order is not important in a combination. \n" ); document.write( "if this was a combination instead of a permutation, then your possible sets would be: \n" ); document.write( "HELL \n" ); document.write( "HLLE \n" ); document.write( "LLHE \n" ); document.write( "for example: \n" ); document.write( "HELL AND EHLL contain the same letters, but in a dirrerent order. \n" ); document.write( "as a permutation, they are considered members of separate sets. \n" ); document.write( "as a combination, they are considered members of the same set. \n" ); document.write( " \n" ); document.write( " |