document.write( "Question 1090642: An employer interviews 9 people for 5 management positions
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document.write( "in a company, and 4 of the 9 people are women.
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document.write( "If all 9. are qualified, in how many ways can the employer
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document.write( "fill the management positions if exactly 2 are women?
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Algebra.Com's Answer #705095 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! An employer interviews 9 people for 5 management positions \n" ); document.write( "in a company, and 4 of the 9 people are women. \n" ); document.write( " \r\n" ); document.write( "So there are 4 women and 5 men\r\n" ); document.write( " \n" ); document.write( "If all 9 are qualified, in how many ways can the employer \n" ); document.write( "fill the management positions if exactly 2 are women? \n" ); document.write( " \r\n" ); document.write( "Exactly 2 women are to be chosen from the 4, and since 5 people \r\n" ); document.write( "are to be chosen, exactly 3 men are to be chosen from the 5.\r\n" ); document.write( "\r\n" ); document.write( "(4 women choose 2)(5 men choose 3) = (4C2)(5C3) = (6)(10) = 60 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |