document.write( "Question 1165255: in how many ways can the letter of the word \"HELL\" be permuted, if the two 2LLs must always be apart. \n" ); document.write( "
Algebra.Com's Answer #789717 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "There are 4! = 4*3*2*1 = 24 permutations of 4 letters, in all.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From this amount, subtract those permutations, where two letters \"L\" go together.\r\n" ); document.write( "The number of such permutations is 2*3! = 2*6 = 12.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The difference 24 - 12 = 12 is the number of wanted permutations in your problem. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On Permutations, see introductory lessons \r \n" ); document.write( "\n" ); document.write( " - Introduction to Permutations\r \n" ); document.write( "\n" ); document.write( " - PROOF of the formula on the number of Permutations\r \n" ); document.write( "\n" ); document.write( " - Simple and simplest problems on permutations\r \n" ); document.write( "\n" ); document.write( " - Special type permutations problems \r \n" ); document.write( "\n" ); document.write( " - Problems on Permutations with restrictions \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on Permutations and Combinations\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II \n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |