Three-set Venn diagram with numbers: pets

An example figure from the Venn Diagram Generator.

A three-set Venn diagram of Cat, Dog and Fish in a box marked U, with a number in each of its eight regions — Three overlapping circles named Cat, Dog and Fish inside a box marked U, with the number of students owning each mix of pets in every region: 9 cat only, 7 dog only, 3 fish only, 4 cat and dog only, 2 cat and fish only, 1 dog and fish only, 2 all three, and 5, in the lower right corner, none of them.

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Answer key

n(U) = 33
n(Cat) = 17
n(Dog) = 14
n(Fish) = 8
n(Cat ∩ Dog) = 6
n(Cat ∩ Fish) = 4
n(Dog ∩ Fish) = 3
n(Cat ∩ Dog ∩ Fish) = 2
n(Cat ∪ Dog) = 25
n(Cat ∪ Fish) = 21
n(Dog ∪ Fish) = 19
n(Cat ∪ Dog ∪ Fish) = 28

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