Technical Calculator

Venn Diagram Calculator

Enter all the required values in their respective fields and the calculator will draw a venn diagram, with steps shown.

Venn Diagram for Two Sets
Venn Diagram for Three Sets

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what is a Venn Diagram?

The Venn diagram is a basic illustration of all of the similarities and differences of the set of facts.

possible logical possibilities or chances. In set mathematics, it is the most green version to symbolize the connection a few of the units of facts through a clean graphical instance. The similarities are the intersection values and the variations are the unions of dataset values. you could now not get to understand a way to parent out union and intersection numbers in facts set organizations. however don't worry as our Venn diagram calculator will do it for you in seconds.

Venn Diagram system:

n (A ∪B) = n (A) + n(B) - n (A ∩ B)

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

Our Venn diagram chance calculator additionally makes use of the above-stated formulation to generate accurate consequences in a glimpse of moments.

Example:

In a company, 300 employees are surveyed. among them, a hundred and eighty employees use a smartphone, a hundred and fifty use a pill, and 100 use each a smartphone and a pill.

How many employees only use a smartphone?

How many employees only use a tablet?

How many employees use both a smartphone and a tablet?

How many employees use neither a smartphone nor a tablet?

Solution:

The 3-circle Venn diagram template illustrates the number of employees who only use a smartphone, only use a tablet, or use both devices.

The Employees Only Using a Smartphone:

Smartphone-only = Smartphone - (Smartphone ∩ Tablet)

Smartphone-only = 180 - 100

Smartphone-only = 80

The Employees Only Using a Tablet:

Tablet-only = Tablet - (Smartphone ∩ Tablet)

Tablet-only = 150 - 100

Tablet-only = 50

Employees Using Both Smartphone and Tablet:

Smartphone = 180, Tablet = 150, Smartphone ∩ Tablet = 100

Employees Using Neither Smartphone Nor Tablet:

Neither = Total - [Smartphone-only + Tablet-only + (Smartphone ∩ Tablet)]

Neither = 300 - [80 + 50 + 100]

Neither = 70

The 3-circle Venn diagram also represents the employees who neither use a smartphone nor a tablet.

Property Example Formula/Explanation
Union (A ∪ B) A = {1,2,3}, B = {3,4,5} A ∪ B = {1,2,3,4,5}
Intersection (A ∩ B) A = {1,2,3}, B = {3,4,5} A ∩ B = {3}
Difference (A - B) A = {1,2,3}, B = {3,4,5} A - B = {1,2}
Difference (B - A) A = {1,2,3}, B = {3,4,5} B - A = {4,5}
Complement (A′) Universal Set U = {1,2,3,4,5,6}, A = {1,2,3} A′ = {4,5,6}
Complement (B′) U = {1,2,3,4,5,6}, B = {3,4,5} B′ = {1,2,6}
Disjoint Sets A = {1,2}, B = {3,4} A ∩ B = ∅ (No Common Elements)
Subset A = {1,2}, B = {1,2,3,4} A ⊆ B (A is a subset of B)
Power Set A = {1,2} P(A) = {{}, {1}, {2}, {1,2}}
Cardinality of Union A = {1,2,3}, B = {3,4,5} |A ∪ B| = |A| + |B| - |A ∩ B| = 5

FAQs

What is a Venn Diagram Calculator.

It is a website that allows you to draw and understand how groups relate by drawing circles that may touch or overlap. It is used to find unions, intersections, and differences between sets.

How does a Venn Diagram Calculator work.

The calculator gets numbers and pictures to show side-by-side pics overlapping. It also calculates the union, intersection, and complement of the given sets.

What are the common uses of a Venn Diagram Calculator.

This gadget is widely used in statistics, mathematics, reasoning, and data study. It helps compare different groups and understand relationships between them.

Can this calculator handle more than two sets.

Indeed, most Venn Diagram Maker Software allows users to enter two or three distinct groups, and several sophisticated versions are able to manage intricate connections among numerous distinct groups.

How do I enter sets into the calculator.

You enter collections in the form of array or sets, typically divided by commas or white spaces. Set A = {1, 2, 3}, Set B = {2, 3, 4} shows overlapping members in their confluence.

What is the union of two sets.

The merger of two collections covers each item from each set without repetitions. If Set A = {1, 2, 3} and Set B = {3, 4, 5}, their amalgamation would be {1, 2, 3, 4, 5}.

What is the intersection of two sets.

The amalgamation of two groups consists solely of components that occur in both groups. If we have the first group of numbers {1, 2, 3} and another group {3, 4, 5}, the numbers they both share is just {3}.

Can this calculator find the complement of a set.

The calculator can identify the complementary elements of a collection by pointing inclusions not present within the specified group yet belonging to the comprehensive assembly.

How can a Venn Diagram Calculator help with probability.

It can calculate probabilities by analyzing the overlap of different events. for example, it helps in determining the probability of either occurrence A or B.

Can I use this calculator for logical operations.

They are like a cool map to show where things connect in a logic puzzle.

Is this calculator useful for data science.

Yes, experts who study data help us make sense of different data by using circular shapes to spot what is similar and see how things are connected.

How is a three-set Venn diagram different from a two-set Venn diagram.

A three-circle overlap chart shows where the groups overlap in pairs and all at once.

Can I customize the Venn diagram output.

Some calculators allow you to change how it looks by picking colors, label names, and size of circles, which helps you see how different groups are related.

Is this tool helpful for students.

Indeed, scientists engaged in the study of set theory, probability, or logic can use this instrument to hone and understand the correlation of various sets in relation to each other.

Is a Venn Diagram Calculator free to use.

Yes, a lot of web-based Venn Diagram tools are given for free, and anyone who wants to figure out sets and how they connect visually can use them.

what's a Venn Diagram With 3 Circles known as?

The three circle Venn diagram template is called the triple Venn diagram. The triple Venn diagram maker is used to look at 3 classes. The overlapping location represents the shared region between the 3 training.

What Are the HCF and LCM In a Venn Diagram?

The intersection is the HCF (highest commonplace element) and the union is the LCM (Least common a couple of) inside the Venn diagram. The Venn diagram calculator calculates each the LCM and HCF of the 2 and 3 sets.