document.write( "Question 1172924: A Discrete Mathematics student comes from the village of KILLAHOURAGAIN. As an hilarious jape, on the way home from
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document.write( "a late-night study session, he decides to rearrange the letters on
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document.write( "one of the sign-posts.
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document.write( "How many arrangements of the letters in KILLAHOURAGAIN
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document.write( "are possible?
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document.write( "Answer:
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document.write( "Of these arrangements, how many have all the L’s together?
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document.write( "Answer:
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document.write( "Of these arrangements, how may have all the letters in alphabetical order? \n" );
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Algebra.Com's Answer #798133 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "(1) The name has 14 letters, including 3 of one letter and 2 each of two other letters. By a well known counting principle, the number of distinct arrangements is \n" ); document.write( " \n" ); document.write( "(2) To find the number of distinct arrangements with the two L's together, simply treat the two L's as a single \"letter\"; that gives 13 letters with 3 of one letter and 2 of another; the number of distinct arrangements is \n" ); document.write( " \n" ); document.write( "(3) There is only distinct arrangement in which all the letters are in alphabetical order. \n" ); document.write( " \n" ); document.write( " |