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Venn Diagram Calculator

Online Venn tool: from |A|, |B|, |AB| find the union and the only-A / only-B counts.

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|A∪B|=|A|+|B|−|AB|
Count
Overlap

📖 Tutorial | Venn

1. Definition
A Venn diagram shows sets with closed curves; inclusion-exclusion gives |A∪B|=|A|+|B|−|AB|.
2. Formula & Notation
|A|, |AB|Count, overlap
3. Properties & Laws
  • Subtract overlap;
  • Only A = |A|−|AB|;
  • Three sets alternate;
  • Overlap ≤ min.
4. Steps
  1. Enter |A|,|B|,|AB|;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: 20,15,8: only A 12, only B 7, union 27.
6. Common Pitfalls
Subtract the intersection;
Overlap bounded;
Only A is not |A|.

❓ FAQ | Venn

Inclusion?
Subtract overlap.
Only A?
|A|−|AB|.
Three sets?
Alternate.
Venn?
Diagram.
Example?
Union 27.
Upper bound?
|A|+|B|.