Solving Complex Mathematic Problems
Venn diagram is very popular in solving complex mathematical problems especially when it comes to solving set operations such as unions, intersections, and complements. By using the Venn diagram we can easily draw the visual representation of these problems and have a clear view about the complex problem.
Venn diagrams are also used in the solution of probability problems because this diagram can easily be used to describe the probability of different solutions in a visual representation so whether we are using set problems or trying to solve complex probability questions, we can use the Venn diagram to get the solution faster and understand the problem more easily with visual representation.
Example: In a class of 50 students, 30 students like maths, 25 like science, and questions complex probability questions real-life, and 15 like both then what is the number of students who like neither of them?
Solution:
By representing the problem in venn diagram we get the following:
n(A U B) =n (A)+n(B)- n (A intersection B)
No. of students who don’t like Maths and Science is = x.
50 = 30 + 25 —15 + x
x = 50 — 40 = 10
By using Venn diagram we can say that there are 10 students who don’t like either of the subjects.
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