Venn Diagram Calculator

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Choose whether to work with two or three overlapping sets.
Total number of elements in the universe. Used to compute complements. Leave as 0 to skip complement outputs.
Total number of elements in set A (including those shared with B or C).
Total number of elements in set B.
Number of elements belonging to both A and B.
Union |A∪B| (or A∪B∪C)
60

Total elements in at least one set (inclusion-exclusion principle).

Only in A |A∖B|25
Only in B |B∖A|20
A and B only |A∩B \ C|15
Symmetric difference |AΔB|45
Union complement |(A∪B)'|40
Complement of A |A'|60
Complement of B |B'|65
Only A25
A and B15
Only B20
Neither40

Union has 60 elements; intersection has 15.

  • The union covers 60 elements in total. The intersection of 15 elements represents 37.5% of set A and 42.9% of set B.
  • 25 elements are exclusive to A, and 20 elements are exclusive to B.
  • The symmetric difference (elements in exactly one set) is 45, versus the shared intersection of 15.
  • 40 elements in the universal set fall outside both A and B.

Next stepThe sets partially overlap.

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