document.write( "Question 931738: In how many ways may a factory manager assigns one or more of her 7 workers to undergo a screening test? \n" ); document.write( "
Algebra.Com's Answer #573245 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "2 choices for the 1st worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "2 choices for the 2nd worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "2 choices for the 3rd worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "2 choices for the 4th worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "2 choices for the 5th worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "2 choices for the 6th worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "2 choices for the 7th worker; 1. assign to undergo screening test.\r\n" ); document.write( " 2. don't assign to undergo screening test.\r\n" ); document.write( "\r\n" ); document.write( "That's 2*2*2*2*2*2*2 = 27 = 128 ways\r\n" ); document.write( "\r\n" ); document.write( "But we must subtract 1 from 128 because one of the 128 ways is to\r\n" ); document.write( "choose not to assign any of the 7 to undergo screening test. We\r\n" ); document.write( "must eliminate that 1 case. \r\n" ); document.write( "\r\n" ); document.write( "Answer 128 - 1 = 127\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |