SOLUTION: In how many ways may a factory manager assigns one or more of her 7 workers to undergo a screening test?

Question 931738: In how many ways may a factory manager assigns one or more of her 7 workers to undergo a screening test?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

2 choices for the 1st worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.
2 choices for the 2nd worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.
2 choices for the 3rd worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.
2 choices for the 4th worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.
2 choices for the 5th worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.
2 choices for the 6th worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.
2 choices for the 7th worker; 1. assign to undergo screening test.
                              2. don't assign to undergo screening test.

That's 2*2*2*2*2*2*2 = 2⁷ = 128 ways

But we must subtract 1 from 128 because one of the 128 ways is to
choose not to assign any of the 7 to undergo screening test.  We
must eliminate that 1 case. 

Answer 128 - 1 = 127

Edwin

RELATED QUESTIONS
Out of 5 male workers and 7 female workers of some factory a committee consisting 2 male... (answered by robertb)

A manager wants to assign 20 workers to four distinct construction jobs. These jobs... (answered by math_helper,greenestamps)

Three vehicles (one blue, one green and one grey) with a carrying capacity of 12... (answered by psbhowmick)

a manager wants to assign 20 workers to 4 district construction job. these jobs require... (answered by ikleyn)

in how many ways can one invite one or more of five friends to her a... (answered by ikleyn,Alan3354)

In how many ways can one invite one or more of her seven friends to a... (answered by Edwin McCravy)

A manager must select 8 of 12 possible workers to work on New Year's Eve. In how many... (answered by ramkikk66)

there are two factories in the town of lemming. factory a has 4 times as many workers as... (answered by checkley75)

I'm just trying to figure out what formula I should be using for this question: A factory (answered by rothauserc)