# Venn Diagrams

Venn diagrams are the principal way of illustrating sets diagrammatically. The method consists primarily of entering the elements of a set into a circle or ovals.

### Venn Diagrams With Three Circles

Learn draw and interpret Venn diagrams with three circles or subsets (also called a 3-way Venn Diagram).

In a class of 50 students,
23 students speak Spanish,
25 students speak French and
20 students speak Italian.
7 students speak both French and Spanish,
9 students speak both French and Italian,
and 11 students speak both Spanish and Italian,
4 students speak neither of these languages.

### Venn Diagram GCSE Maths Revision

Exam Paper Practice & Help
(a) Use this information to fill in the Venn Diagram below.
In a class there are 32 students
23 take History.
15 take French.
6 do not take either of these subjects.
(b) How many students take French but not History?

### Solving Problems With Venn Diagrams

This video solves two problems using Venn Diagrams. One example with two sets and another example with three sets.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 