document.write( "Question 1157603: There are six seat in a railway carriage. In how many different ways can 4 people occupy them?
\n" );
document.write( "My calculation : 6!x2!
\n" );
document.write( "and I think the answer is wrong \n" );
document.write( "
Algebra.Com's Answer #780477 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your answer is wrong.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The correct answer is 6*5*4*3 = 360 ways, the product of 4 consecutive integer numbers, \n" ); document.write( "starting from 6 in descending order. ANSWER\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The mantra is standard for all such problems:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " We can place item 1 in any of 6 positions;\r\n" ); document.write( "\r\n" ); document.write( " item 2 in any of 5 remaining positions;\r\n" ); document.write( "\r\n" ); document.write( " item 3 in any of 4 remaining positions;\r\n" ); document.write( "\r\n" ); document.write( " item 4 in any of 3 remaining positions.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is about PERMUTATIONS.\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( " - Problems on Permutations\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( " |