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Venn Diagram Calculator

Enter all the required values in their respective fields, and the calculator will draw a Venn diagram, with the steps displayed

Venn Diagram for Two Sets

Venn Diagram for Three Sets

Enter the title of the venn diagram:

Enter the title of B:

Enter the title of A:

Enter the value of B:

Enter the value of A:

Enter the value of A∩B:

Enter the value of Universal(U):

Enter the title of the venn diagram:

Enter the title of B:

Enter the title of A:

Enter the value of B:

Enter the value of A:

Enter the value of Universal(U):

Enter the value of A∩B:

Enter the value of Universal(U):

Enter the value of C∩A:

Enter the value of B∩C:

Venn Diagram:

Related

The probability Venn diagram calculator generates a symmetric Venn diagram for two or three sets of data. It also calculates the union and intersection for the given values using this Venn diagram solver.

What Is a Venn Diagram?

A Venn diagram is a graphical representation of the similarities and differences among sets of data.

Also called a logic diagram, a Venn diagram efficiently represents all possible logical possibilities or probabilities. The intersections show similarities, while the unions show differences. Our Venn diagram calculator calculates union and intersection values instantly for given sets.

Venn Diagram Formulas

For two sets A and B:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

For three sets A, B, and C:

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)

The Venn diagram probability calculator uses these formulas to generate accurate results quickly.

Example:

In a university, 200 students are randomly selected. 140 students like football, 120 like cricket, and 80 like both football and cricket. Determine:

Students who like only football
Students who like only cricket
Students who like both football and cricket
Students who like neither football nor cricket

Solution:

Let set A represent students who like football, set B students who like cricket, and A ∩ B those who like both.

Example Venn Diagram

Students who like only football:

A-only = A - (A ∩ B) = 140 - 80 = 60

Students who like only cricket:

B-only = B - (A ∩ B) = 120 - 80 = 40

Students who like both football and cricket:

A ∩ B = 80

Students who like neither football nor cricket:

D = U - [A-only + B-only + (A ∩ B)] = 200 - [60 + 40 + 80] = 20

How the Venn Diagram Calculator Works:

Input:

Select a Venn diagram for two or three sets
Enter values for sets A, B, (C if 3 sets), intersections, and the universal set
Click the calculate button

Output:

Venn diagram of the sets
Step-by-step calculations

FAQs

What is a Venn diagram with 3 circles called?

A three-circle Venn diagram is called a triple Venn diagram. It compares three categories, with overlapping regions representing elements common to multiple sets.

What are HCF and LCM in a Venn diagram?

In a Venn diagram, the intersection represents the HCF (Highest Common Factor), and the union represents the LCM (Least Common Multiple). The Venn diagram calculator can compute HCF and LCM for two or three sets.

References:

From Wikipedia: Venn diagram, triple circle diagrams

From Investopedia: Venn diagram components

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