document.write( "Question 1031197: There are 19 nominees for 6 vacancies on a city commission, 8 Republicans and 11 Democrats.
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\n" ); document.write( " (b) If nominees to fill the vacancies are chosen at random, what is the probability of choosing 2 Republicans and 4 Democrats? \n" ); document.write( "

Algebra.Com's Answer #646005 by Edwin McCravy(20056) $\"\"$ $\"About$

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There are 19 nominees for 6 vacancies on a city
\n" ); document.write( "commission, 8 Republicans and 11 Democrats.
\n" ); document.write( " (a) How many ways can the vacancies be filled
\n" ); document.write( "by 2 Republicans and 4 Democrats?
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document.write( "(8 Republicans choose 2) times (11 Democrats choose 4) =\r\n" );
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document.write( "8C2×11C4 = 9240\r\n" );
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\n" ); document.write( "(b) If nominees to fill the vacancies are chosen
\n" ); document.write( "at random, what is the probability of choosing
\n" ); document.write( "2 Republicans and 4 Democrats?
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document.write( "9240 ways out of (19 nominees choose 6)\r\n" );
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document.write( "9240÷(19C6) = 9240÷27132 = \r\n" );
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document.write( "which reduces by 84 to  about 34% of the time.\r\n" );
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document.write( "Edwin

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