Let $C(x)$ be the statement "$x$ has a cat", let $D(x)$ be the statement "$x$ has a dog" and let $F(x)$ be the statement "$x$has a ferret". Express each of the following statements in terms of $C(x)$, $D(x)$, and $F(x)$, quantifiers, and logical connectives. Let the universe of discourse consist of all students in your class. Put the appropriate letter next to the corresponding symbolic form.

 1. $\exists x (C(x)) \wedge (\exists x D(x)) \wedge (\exists x F(x))$
 2. $\exists x (C(x) \wedge F(x) \wedge \lnot D(x))$
 3. $\exists x (C(x) \wedge D(x) \wedge F(x))$
 4. $\forall x (C(x) \vee D(x) \vee F(x))$
 5. $\lnot \exists x (C(x) \wedge D(x) \wedge F(x))$

a) A student in your class has a cat, a dog, and a ferret.

b) All students in your class have a cat, a dog, or a ferret.

c) Some student in your class has a cat and a ferret but not a dog.

d) No student in this class has a cat, a dog, and a ferret.

e) For each of the three animals, cats, dogs, and ferrets, there is a student in your class who has one of these animals.