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Which of the following statements is definitely false? Every family with exactly 1 pet has a parrot.  Every family with exactly 2 pets has at least one cat.  Every family with exactly 3 pets has three dogs.  None of the above

Question

Which of the following statements is definitely false? Every family with exactly 1 pet has a parrot.  Every family with exactly 2 pets has at least one cat.  Every family with exactly 3 pets has three dogs.  None of the above

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Solution

The statement "Every family with exactly 3 pets has three dogs" is definitely false. This is because a family with exactly 3 pets could have a variety of pets, not just dogs. They could have a cat, a bird, and a dog, for example. Therefore, it is not necessarily true that every family with exactly 3 pets has three dogs.

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