document.write( "Question 1185027: From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees can be formed if three men refuse to serve? \n" ); document.write( "

Algebra.Com's Answer #815741 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed.
\n" ); document.write( "how many different committees can be formed if three men refuse to serve?
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document.write( "You can select 4 men   from a group of 8-3 = 5 men   in   = 5 different ways.\r\n" );
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document.write( "You can select 3 women from a group of 6 women in   =  = 20 different ways.\r\n" );
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document.write( "Combining these different groups of men and women, you can form the commiittee in 5*20 = 100  different ways.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This problem is on COMBINATIONS.\r
\n" ); document.write( "\n" ); document.write( "It also uses the Fundamental counting principle.\r
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\n" ); document.write( "\n" ); document.write( "On these subjects, learn from the lessons\r
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\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( "    - Fundamental counting principle problems \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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