Which of the following statements is a tautol | vedclass

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(C) tautology is a statement that is always true for all possible truth values of its components.$(A)$ $((\sim q) \wedge p) \wedge q = (\sim q \wedge

Vedclass · Accepted Answer

$((\sim q) \wedge p) \vee (p \vee (\sim p))$

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(C) tautology is a statement that is always true for all possible truth values of its components.$(A)$ $((\sim q) \wedge p) \wedge q = (\sim q \wedge q) \wedge p = F \wedge p = F$ (Contradiction)$(B)$ $((\sim q) \wedge p) \wedge (p \wedge (\sim p)) = (\sim q \wedge p) \wedge F = F$ (Contradiction)$(C)$ $((\sim q) \wedge p) \vee (p \vee (\sim p)) = ((\sim q) \wedge p) \vee T = T$ (Tautology)$(D)$ $(p \wedge q) \wedge (\sim (p \wedge q)) = F$ (Contradiction)Thus,option $C$ is a tautology.

Which of the following statements is a tautology?

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