document.write( "Question 1134901: A city council consists of seven Democrats and seven Republicans. If a committee of six people is​ selected, find the probability of selecting four Democrats and two Republicans. Answer must be a fraction. \n" ); document.write( "
Algebra.Com's Answer #752420 by ikleyn(52797)\"\" \"About 
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document.write( "1.  You can select 4 Dems from 7 Dems  by  \"C%5B7%5D%5E4\" = \"%287%2A6%2A5%29%2F%281%2A2%2A3%29\" = 35 ways.\r\n" );
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document.write( "2.  You can select 2 Resp from 7 Resp by  \"C%5B7%5D%5E2\" = \"%287%2A6%29%2F%281%2A2%29\" = 21 ways.\r\n" );
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document.write( "3.  You can combine the choices from  n.1  and  from  n.2 INDEPENDENTLY.\r\n" );
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document.write( "    Therefore, based on Fundamental Counting Principle, the total number of choices is the product  35*21 = 735.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Combinations,  see the 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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