document.write( "Question 1179508: \"There are 12 food items on a dinner table. Suppose a person is allowed to get only 8 food items. How many ways can the person choose?\"\r
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document.write( "I am kind of confused if this is a permutation or a combination problem - my first answer is in combination: 12C8 = 495. But I am not sure if this is correct.\r
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document.write( "It would mean a lot if someone could correct me or confirm this, I have trouble determining if a problem is in permutation or combination. Thank you! \n" );
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Algebra.Com's Answer #809063 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The rule and the way to distinct between permutations and combinations is THIS:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - if the order in selections DOES matter, then the selections are PERMUTATIONS.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - if the order in selections DOES NOT matter, then the selections are COMBINATIONS.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regarding this problem, is something in the text or in the context, that makes the order important ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I do not see any signs of it NEITHER in the text, NOR in the context.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, I conclude that the problem is about COMBINATIONS.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On permutations and combinations, see introductory lessons\r \n" ); document.write( " \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( "\n" ); document.write( " - Introduction to Combinations\r \n" ); document.write( "\n" ); document.write( " - PROOF of the formula on the number of Combinations\r \n" ); document.write( "\n" ); document.write( " - Problems on Combinations\r \n" ); document.write( " \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( " |