Question:
The number of ordered triplets of the truth values of \( p, q, r \) and such that the truth value of the statement
\[
(p \lor q) \land (p \lor r) \implies (q \lor r) \text{ is True, is equal to:}
\]
The number of ordered triplets of the truth values of \( p, q, r \) and such that the truth value of the statement
\[
(p \lor q) \land (p \lor r) \implies (q \lor r) \text{ is True, is equal to:}
\]
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Constructing truth tables is an effective way to check the validity of logical statements by analyzing all possible truth values.
Updated On: Mar 22, 2025
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Correct Answer: 7
Solution and Explanation
We are given the following logical expression:
\[
(p \lor q) \land (p \lor r) \implies (q \lor r)
\]
We will construct the truth table to evaluate the number of ordered triplets where this statement is True.
Thus, the total number of ordered triplets is 7.
Thus, the total number of ordered triplets is 7.
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