document.write( "Question 630623: How many different ways can 4 women and 7 men be selected from
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document.write( "11 married couples (assuming no gay marriages). \n" );
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Algebra.Com's Answer #397068 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\"11 women choose 4\", that's C(11,4) or 330.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 330 ways to choose the 4 women, there are\r\n" ); document.write( "\r\n" ); document.write( "\"11 men choose 7\", that's C(11,7) or 330 ways to choose the men.\r\n" ); document.write( "\r\n" ); document.write( "Therefore the answer is C(11,4)·C(11,7) = 330·330 = 108,900 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |