1. 30 students take calculus, 27 take geography, and 10 take both. Use a Venn Diagram to determine how many take either calculus or geography or both?
2. An amateur drama group has 15 volunteers for backstage work and 11 for the box office. If 6 volunteers are willing to work either backstage or in the box office, use a venn diagram to determine how many volunteers there are altogether?
3. Everyone in a doctor’s office is suffering from either a cold or a hangnail. 13 people raised their hand when asked how many people are suffering from a cold. 8 people raised their hand when asked how many people had a hangnail. The nurse noted that 5 people had raised their hands twice. How many patients are there in the office?
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