document.write( "Question 1113558: Fifteen people showed up to the Math Lab on Monday night. I want to give prizes to three of those students. \r
\n" ); document.write( "\n" ); document.write( "a. How many ways can I choose three people to receive an A on their final?\r
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\n" ); document.write( "\n" ); document.write( "b. How many ways can three people be picked where the first person gets an A on the final, the second person gets 10 extra credit points and the third gets a free calculator?\r
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\n" ); document.write( "\n" ); document.write( "c. How many ways can three people be chosen so that the first two people get an A on the final and the third gets extra credit.
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Algebra.Com's Answer #728628 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "a.  In this case the order does not matter in the groups of three students, so the answer is the number of combinations  \"C%5B15%5D%5E3\" = \"%2815%2A14%2A13%29%2F%281%2A2%2A3%29\".\r\n" );
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document.write( "b.  In this case the order does matter in the groups of three students, so the answer is the number of permutations  3P15 = 15*14*13.\r\n" );
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document.write( "c.  \"%28%2815%2A14%29%2F2%29%2A13\".\r\n" );
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\n" ); document.write( "On Combinations and Permutations see the 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( "    - 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( "    - Arranging elements of sets containing indistinguishable elements \r
\n" ); document.write( "\n" ); document.write( "    - Persons sitting around a cicular table \r
\n" ); document.write( "\n" ); document.write( "    - Combinatoric problems for entities other than permutations and combinations \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\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
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\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
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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