Statistics

Venn Diagram Calculator

Find the regions of a two-set Venn diagram.

Calculated Output

A ∪ B 45

Only in A 20

Only in B 15

Formula: A ∪ B = A + B − (A ∩ B)

Step-by-Step Breakdown

1. Values used:

2. Size of A = 30

3. Size of B = 25

4. Size of A ∩ B = 10

6. A ∪ B = 45

7. Only in A = 20

8. Only in B = 15

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The math behind it

Union = |A| + |B| − |A ∩ B| (inclusion–exclusion). Only-A = |A| − overlap.

A 30, B 25, overlap 10 → union 45, only-A 20, only-B 15.

What if the sets don't overlap?

Set the intersection to 0; the union is then just A + B.