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Two-Set Venn Count Calculator — result sheet
Calculate A-only, B-only, union, overlap, and neither counts for two sets inside a stated universe.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: A-only=A−overlap; B-only=B−overlap; union=A+B−overlap; neither=universe−union.
The count form makes inclusion-exclusion concrete and checks that the supplied overlap and universe are internally consistent.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Universe count — minimum 1; maximum 1000000000000
- Set A count — minimum 0; maximum 1000000000000
- Set B count — minimum 0; maximum 1000000000000
- A and B overlap — minimum 0; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Universe count | 100 |
| Set A count | 70 |
| Set B count | 50 |
| A and B overlap | 20 |
A-only = 50; B-only = 30; union = 100; neither = 0.
Assumptions and limits
- Counts are nonnegative integers describing two sets in the same finite universe.
- The overlap cannot exceed either set and the union cannot exceed the universe.
- Set membership is counted once; fuzzy or overlapping category definitions need a different model.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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