In a group of 28 employees, 11 take public transit while 10 drive to work. 9 employees from this group are to be selected for a study. How many different groups of 9 employees can be selected from the 28 employees?  How many of the possible groups of 9 employees will: consist only of employees that either take public transit or drive to work?  consist entirely of those that take public transit?  consist entirely of those that drive to work?  not include anyone that takes public transit?  not include anyone that drives to work?  consist of at least one person that takes public transit?  consist of at least one person that drives to work?  consist of 5 people that take the transit, and 4 that drive to work?  consist of 3 people that take the transit, 3 that drive to work, and 3 that do neither?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a group of 28 employees, 11 take public transit while 10 drive to work.
9 employees from this group are to be selected for a study.

    1. How many different groups of 9 employees can be selected from the 28 employees? 


How many of the possible groups of 9 employees will:

  1. consist only of employees that either take public transit or drive to work? 
  2. consist entirely of those that take public transit? 
  3. consist entirely of those that drive to work? 
  4. not include anyone that takes public transit? 
  5. not include anyone that drives to work? 
  6. consist of at least one person that takes public transit? 
  7. consist of at least one person that drives to work? 
  8. consist of 5 people that take the transit, and 4 that drive to work? 
  9. consist of 3 people that take the transit, 3 that drive to work, and 3 that do neither? 
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