Set Theory Calculator

Calculate union, intersection, difference, symmetric difference, and complements for two sets with similarity metrics.

Set A Size

Set B Size

Overlap (A ∩ B)

Universal Set Size

Tab to move between fields

Union (A ∪ B)

Intersection (A ∩ B)

Difference (A − B)40

Difference (B − A)20

Symmetric Diff (A Δ B)60

Complement of A50

Complement of B70

Jaccard Index0.1429

Overlap Coefficient0.3333

How to Use This Calculator

Enter the elements of Set A and Set B as comma-separated values.
Select the set operation: union, intersection, difference (A−B or B−A), or symmetric difference.
Review the resulting set elements and cardinality.
Check the Venn diagram representation to visualize the overlap.
Use the cardinality outputs to verify set relationships in database queries or combinatorics problems.

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