Basic Venn Diagrams for Triple Sets with Different Scenarios

Triple Sets Venn Diagram Maker

An online euler-venn diagram tool to create a venn diagram for 3 sets with step by step explanation.

Value of X

Value of Y

Value of Z

Value of Universal(U)

Value of X∩Y

Value of Y∩Z

Value of Z∩X

Value of X∩Y∩Z

Step by Step calculation

Venn diagram, also known as Euler-Venn diagram is a simple pictorial representation of sets.

For three events X, Y & Z, we have

n(X) - [n(XnY) + n(XnZ) - n(XnYnZ)] =Total number of elements related to X only.

n(Y) - [n(XnY) + n(YnZ) - n(XnYnZ)] =Total number of elements related to Y only.

n(Z) - [n(YnZ) + n(XnZ) + n(XnYnZ)] =Total number of elements related to Z only.

n(XnY) = Total number of elements related to both X & Y

n(XnY) - n(XnYnZ) = Total number of elements related to both (X & Y) only.

n(YnZ) = Total number of elements related to both Y & Z

n(YnZ) - n(XnYnZ) = Total number of elements related to both (Y & Z) only.

n(XnZ) = Total number of elements related to both X & Z

n(XnZ) - n(XnYnZ) = Total number of elements related to both (X & Z) only.