document.write( "Question 1136801: There are nine female board members and twenty-one male board members.\r
\n" ); document.write( "\n" ); document.write( "How many ways are there to make a committee of twelve board members if exactly two must be female?\r
\n" ); document.write( "\n" ); document.write( "Determine the probability of selecting a committee of twelve board members where exactly two of the members were female. Write your answer as a decimal, rounded to the nearest thousandth. \n" ); document.write( "

Algebra.Com's Answer #754635 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "There are nine female board members and twenty-one male board members.\r
\n" ); document.write( "\n" ); document.write( "(a) How many ways are there to make a committee of twelve board members if exactly two must be female?\r
\n" ); document.write( "\n" ); document.write( "(b) Determine the probability of selecting a committee of twelve board members where exactly two of the members were female.
\n" ); document.write( "Write your answer as a decimal, rounded to the nearest thousandth.
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document.write( "(a)  You can select 2 females of 9 females by   =  = 36 ways.\r\n" );
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document.write( "     You can select 12-2 = 10 males of 21 males by   =  =  ways = 352716 ways.\r\n" );
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document.write( "     The answer to question (a) is the product of these numbers\r\n" );
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document.write( "      .  = 36 * 352716 = 12697776 ways.\r\n" );
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document.write( "(b)  To answer question (b), you need to divide the answer to question (a) by the number of all combinations \r\n" );
document.write( "     of 21 items taken 12 at a time   :\r\n" );
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document.write( "     P =  = .\r\n" );
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document.write( "I leave it to you to calculate the number  and to complete this assignment. It is just pure mechanical work.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Happy calculations !\r
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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( "\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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