document.write( "Question 1200705: In a classroom of 24 students, the teacher forms groups of 6 students each. How many different ways can these groups be formed? \n" ); document.write( "
Algebra.Com's Answer #834906 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The number of different ways to select 6 students from a group of 24 students is,\r\n" );
document.write( "BY THE DEFINITION, the number of combinations of 24 students taken 6 at a time\r\n" );
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document.write( "    \"C%5B24%5D%5E6\" = \"24%21%2F%286%21%2A%2824-6%29%21%29\" = \"24%21%2F%286%21%2A18%21%29\" = \"%2824%2A23%2A22%2A21%2A20%2A19%29%2F%281%2A2%2A3%2A4%2A5%2A6%29\" = 134596.    ANSWER\r\n" );
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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
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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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\n" ); document.write( "\n" ); document.write( "If the answer is C(24,6)*C(18,6)*C(12,6)*C(6,6), then the problem's formulation in the post is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "For this answer to be correct, the correct formulation should be as follows\r
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document.write( "    In how many ways 24 students of the class can be distributed in 4 disjoint groups of 6 students in each group.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is just a bad tradition at this forum posting wrong problems.\r
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\n" ); document.write( "\n" ); document.write( "I always say in response, that the Math education of the problems' composers at this forum
\n" ); document.write( "is from reading puzzles, not from learning Math.\r
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\n" ); document.write( "\n" ); document.write( "It looks like they are not familiar with high standards of writing Math problems, at all.\r
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\n" ); document.write( "\n" ); document.write( "Consider to hire 1 - 3 - 5 - 7 - 9 specialists, who will edit your mathematical writing on the daily basis.\r
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