Which of the following statements is a tautology?
- A$(\sim q \wedge p) \wedge (p \wedge \sim p)$
- B$(p \wedge q) \wedge (\sim p \wedge q)$
- C$[(\sim q) \wedge p] \wedge q$
- D$(\sim q \wedge p) \vee (p \vee \sim p)$
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What type of statement is $\sim (p \rightarrow q) \Leftrightarrow (\sim p \vee \sim q)$?
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View SolutionIf the statement pattern $(p \wedge q) \rightarrow (r \vee \sim s)$ is false,then the truth values of $p, q, r$ and $s$ are respectively:
If the statement $p \leftrightarrow (q \rightarrow p)$ is false,then the true statement/statement pattern is
The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $(p \vee q) \wedge (p \vee r) \Rightarrow (q \vee r)$ is True,is equal to
The compound statement $(P \vee Q) \wedge (\sim P) \Rightarrow Q$ is equivalent to:
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