Set Operations Calculator

Perform set theory operations on two or three sets. Enter elements (separated by commas, spaces, or newlines) and compute union, intersection, difference, symmetric difference, test subset/superset/disjoint/equality, generate the power set and Cartesian product, and see a labeled Venn diagram with the count in every region. Everything runs locally in your browser.

Sets

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B =

add set C

Venn diagram

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Operations

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Set operations combine collections by membership. The union A ∪ B holds elements in either set; the intersection A ∩ B those in both; the difference A − B those in A but not B; the symmetric difference A △ B those in exactly one. A is a subset of B if every element of A is in B; sets are disjoint if they share no elements; equal if they contain the same elements. The power set P(A) is the set of all subsets (|P(A)| = 2^|A|, capped for display); the Cartesian product A × B is all ordered pairs. Elements are compared as text and deduplicated within each set. Pairs with the Subset Sum Solver and Combination Generator tools. Everything runs locally — nothing leaves your browser.