Practice Problems on Applications of Venn Diagrams
Problem 1: In a school, 150 students are in the Math Club, 120 are in the Science Club, and 90 are in the Chess Club. 60 students are in both the Math and Science Clubs, 30 are in both the Science and Chess Clubs, and 40 are in both the Math and Chess Clubs. 20 students are in all three clubs. Use a Venn diagram to find out how many students are in at least one of the clubs.
Problem 2: A survey of 200 households finds that 80 have dogs, 60 have cats, and 40 have birds. 30 households have both dogs and cats, 20 have both cats and birds, and 10 have both dogs and birds. 5 households have all three types of pets. Use a Venn diagram to determine how many households do not have any of the three types of pets.
Problem 3: In a group of 100 people, 70 like pizza, 50 like burgers, and 60 like tacos. 40 people like both pizza and burgers, 30 like both burgers and tacos, and 35 like both pizza and tacos. 25 people like all three. Create a Venn diagram to figure out how many people do not like any of the three foods.
Applications of Venn Diagrams in Real Life
Applications of Venn Diagrams: Venn diagrams are popularly used in our daily life for visual representation, the Venn diagrams are used to describe how various sets overlap one another. Venn diagram uses circles for a particular group of elements and when these circles overlap each other then it means those elements have one or more common properties.
The Venn diagrams are named after the person who founded and popularized them in the late 1880s by John Venn who was an English logician. In this article, we will look at the different uses and applications of the Venn diagrams in real life.
Table of Content
- What are Venn Diagrams?
- Uses / Applications of Venn Diagrams
- Applications of Venn Diagrams in Real Life
- 1. Solving Complex Mathematic Problems
- 2. Logical Representation of Venn Diagrams
- 3. Visual Organization of Information
- 4. Marketing and Management
- 5. Computer Science
- Practice Problems on Applications of Venn Diagrams
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