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There are 1900 freshmen on campus this year. 1000 of them come from Michigan. 1300 of...

There are 1900 freshmen on campus this year. 1000 of them come from Michigan. 1300 of them have meal plans at one of the dormitories. 900 of them plan to earn a science major. 1700 of them either come from Michigan or have meal plans at one of them dormitories. 1400 of them either come from Michigan or plan to earn a science major. 1400 of them either have meal plans at one of the dormitories or plan to earn a science major. 400 of them come from Michigan, have meal plan, and plan to take a science major. (Hint: Draw an overlapping three-circle Venn Diagram will help you build up the model.)

  1. How many of them not come from Michigan, do not have meal plans at the dormitories, and do not plan to take a science major?
  2. How many of them not come from Michigan, plan to take a science major, and do not have meal plans at the dormitories?
  3. How many of them plan to take a science major, but neither come from Michigan nor have a meal plan?
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