The statement pattern $p \wedge(q \vee \sim p)$ is equivalent to

The negation of the statement ' He is poor but happy' is

If $$p, q$$ are true statement and $$r$$ is false statement, then which of the following statements is a true statement.

If $$p \rightarrow(\sim p \vee q)$$ is false, then the truth values of $$p$$ and $$q$$ are respectively