document.write( "Question 1162462: In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively? \n" ); document.write( "
Algebra.Com's Answer #786274 by ikleyn(52805)\"\" \"About 
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document.write( "From the context, the order inside these groups does not matter.\r\n" );
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document.write( "Hence, the problem is on Combinations.\r\n" );
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document.write( "So, the ANSWER is :  in  \"C%5B13%5D%5E3\".\"C%5B10%5D%5E6\".\"C%5B4%5D%5E2\" =  = 360360 ways.\r\n" );
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document.write( "Explanation\r\n" );
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document.write( "First, you form the group of 3 from the set of 13 people in  \"C%5B13%5D%5E3\"  ways.\r\n" );
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document.write( "Then you form the group of 6 from remaining 10 people in  \"C%5B10%5D%5E6\"  ways.\r\n" );
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document.write( "Finally, you form the group of 2 from remaining 4 people in  \"C%5B4%5D%5E2\"  ways.\r\n" );
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document.write( "After that, you just have no choice: the last group of two is just defined by a unique way.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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\n" ); document.write( "\n" ); document.write( "On Combinations,  see introductory lessons\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( "    - 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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