A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets?

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Solution

The correct option is B
5

From the Venn Diagram, we can conclude that

7 + 4 + 0 + 3 + 1 + 5 + 1 + x = 26

21 + x = 26

x = 5 patrons have none of these animals

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A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets?

The correct option is B 5 From the Venn Diagram, we can conclude that 7 + 4 + 0 + 3 + 1 + 5 + 1 + x = 26 21 + x = 26 x = 5 patrons have none of these animals

The correct option is B
5

From the Venn Diagram, we can conclude that

7 + 4 + 0 + 3 + 1 + 5 + 1 + x = 26

21 + x = 26

x = 5 patrons have none of these animals