Venn Diagram Calculator
Enter counts for sets A and B, along with their intersection and optional population total, to derive region counts.
Leave blank to skip computing the “neither” region.
A only: 20.00
B only: 25.00
Intersection (A ∩ B): 15.00
Union (A ∪ B): 60.00
Neither: 40.00
How to Use This Calculator
- Enter counts for sets A, B, and their intersection (overlap).
- Optionally specify the total population to compute the “neither” region.
- Review exclusive and shared counts, plus union totals.
- Use the values to sketch a Venn diagram or validate dataset overlaps.
Formula
A only = |A| − |A ∩ B|
B only = |B| − |A ∩ B|
|A ∪ B| = |A| + |B| − |A ∩ B|
Neither = Population − |A ∪ B| (if population provided)
Full Description
Venn diagrams visualize overlap between sets. This calculator converts three basic inputs—set sizes and their intersection—into region counts for A only, B only, overlap, and optionally the neither region based on total population.
Frequently Asked Questions
Can the intersection exceed individual sets?
No. The calculator caps the intersection at the smaller set size and warns about inputs.
What if the union exceeds the population?
Check entries; union cannot exceed the total population. The calculator flags this scenario for correction.
Does this support three sets?
This tool focuses on two-set Venn diagrams. Extend manually for additional sets.
Can counts be fractional?
Yes. Fractional values can represent probabilities or weighted membership.