Venn Diagram
A diagram for two and three sets and the size of the union by the inclusion–exclusion formula.
What to find:
Separate elements with commas or spaces. Each area of the figure shows up to 5 elements.
This calculator draws Venn diagrams for two and three sets, from lists of elements or from the counts of elements in the sets and their intersections.
|A ∪ B| = |A| + |B| − |A ∩ B|
|A ∪ B ∪ C| = |A| + |B| + |C| − |A ∩ B| − |A ∩ C| − |B ∩ C| + |A ∩ B ∩ C|
Example. In a class 25 people play football, 18 play chess and 7 do both. In total that is 25 + 18 − 7 = 36 people.
It is easiest to fill the diagram from the centre: first the common part, then the outer areas.
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