Represent the English statement into Quantifiers

Here is a statement

C(x): x has a cat D(x): x has a dog F(x): x has a Ferret

re开发者_JAVA技巧present using quantifiers and logical connectives. Under the domain "all students in your class"

1) No student in your class has a cat, a dog or a ferret.

2) For each of the three animals, there is a student in your class who has one of these animals as a pet.

Can someone provide an answer for this. Thanks in advance.

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1) ∀x (~C(x) ^ ~D(x) ^ ~F(x))

2) (∃xC(x)) ^ (∃xD(x)) ^ (∃xF(x))