document.write( "Question 1182280: A committee of 5 people is going to be chosen from a group of 8 women and 10
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\n" ); document.write( "\n" ); document.write( "How many committees are possible if the committee must have more women than men? \n" ); document.write( "

Algebra.Com's Answer #812255 by Edwin McCravy(20055) $\"\"$ $\"About$

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A committee of 5 people is going to be chosen from a group of 8 women and 10
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There are 18 people choose 5 committee members.  that's 18C5 = 8568 ways to\r\n" );
document.write( "select a committee of 5 people.

How many different committees are possible if the committee must contain at
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From the 8568 ways to choose 5 people, we must eliminate and subtract those\r\n" );
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document.write( "1. contain only women.  That's 8 women choose 5 or 8C5=56 \r\n" );
document.write( "2. contain only men.  That's 10 men choose 5 or 10C5=252 \r\n" );
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document.write( "That's 56+252=308 that we must subtract from the 8568.\r\n" );
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document.write( "Answer = 8568-308 = 8260.\r\n" );
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document.write( "Edwin

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