document.write( "Question 1162995: A committee of six Congressmen will be selected from a group of four Democrats and seven Republicans. Find the number of ways of obtaining exactly one democrat. \n" ); document.write( "
Algebra.Com's Answer #786941 by ikleyn(52914)\"\" \"About 
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document.write( "One democrat can be selected by 4 ways (obviously);\r\n" );
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document.write( "the remaining 5 republicans can be selected by  \"C%5B7%5D%5E5\" = \"%287%2A6%29%2F%281%2A2%29\" = 21 ways.\r\n" );
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document.write( "These selections in separate groups are INDEPENDENT --- therefore, the final answer is the product  4*21 = 84.\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( "    - Problems on Combinations with restrictions \r
\n" ); document.write( "\n" ); document.write( "    - Fundamental counting principle problems \r
\n" ); document.write( "\n" ); document.write( "    - Math circle level problem 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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