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(C) We need to find the negation of the expression $p \vee (\sim p \wedge q)$.Applying De Morgan's Law: $\sim (p \vee (\sim p \wedge q))$$= \sim p \we

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$\sim p \wedge \sim q$

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(C) We need to find the negation of the expression $p \vee (\sim p \wedge q)$.Applying De Morgan's Law: $\sim (p \vee (\sim p \wedge q))$$= \sim p \wedge \sim (\sim p \wedge q)$$= \sim p \wedge (p \vee \sim q)$Using the Distributive Law: $(\sim p \wedge p) \vee (\sim p \wedge \sim q)$Since $(\sim p \wedge p)$ is a contradiction $(c)$:$= c \vee (\sim p \wedge \sim q)$$= \sim p \wedge \sim q$

For any two statements $p$ and $q,$ the negation of the expression $p \vee ( \sim p \wedge q)$ is

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