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In a group of 31 employees, 14 take public transit while 10 drive to work . 9 employees from this group are to be selected

In a group of 31 employees, 14 take public transit while 10 drive to work. 9 employees from this group are to be selected for a study.

Note: Employees either only take the public transit, only drive to work, or do neither.

  1. How many different groups of 9 employees can be selected from the 31 employees?
  2. consist only of employees that either take public transit or drive to work?
  3. consist entirely of those that take public transit?
  4. consist entirely of those that drive to work?
  5. not include anyone that takes public transit?
  6. not include anyone that drives to work?
  7. consist of at least one person that takes public transit?
  8. consist of at least one person that drives to work?
  9. consist of 5 people that take the transit and 4 that drive to work?
  10. consist exactly of 4 people that take the transit and exactly 3 that drive to work?

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