document.write( "Question 1146054: A committee of eight Congressmen will be selected from a group of nine Democrats and seven Republicans. Find the number of ways of obtaining a committee with exactly three Democrats. \n" ); document.write( "

Algebra.Com's Answer #767340 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "The committee = 3 Democrats + 5 Republican.\r\n" );
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document.write( "(1)  You can select 3 democrats from 9 democrats in   =  = 84 ways.\r\n" );
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document.write( "(2)  You can select 8-3 = 5 Republican for remaining 5 positions from 7 Republicans in   =  = 21 ways.\r\n" );
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document.write( "(3)  Selections (1) and (2) are independent;  therefore, the total number of obtaining the committee \r\n" );
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document.write( "     is the product  84*21 = 1764.    ANSWER\r\n" );
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