The negation of the statement $$p \vee q \wedge q \vee \sim r$$ is

First, let's clarify the precedence in the expression. Assuming the standard form $$(p \lor q) \land (q \lor \sim r)$$, we apply De Morgan's Laws:

1. Negate the entire expression: $$\sim [(p \lor q) \land (q \lor \sim r)]$$
2. Distribute the negation: $$[\sim (p \lor q)] \lor [\sim (q \lor \sim r)]$$
3. Simplify: $$(\sim p \land \sim q) \lor (\sim q \land r)$$
4. Factor out $$\sim q$$ using the distributive property: $$(\sim p \lor r) \land \sim q$$

Correct Option: (B)