Exercise · ZW-TRUTH-TABLE-011 · ★★★ Advanced

With three propositions P, Q and R, how many rows of the table have P true and Q false?

Choose one option.

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Explanation

There are \(2^3=8\) rows; fixing P true and Q false leaves R free, and its two values give \(2^1=2\) rows.

Let \(P_1,\ldots,P_n\) be atomic propositions. A truth table records the value of a formula for every assignment of them.

\[\left|\mathrm{Asig}(P_1,\ldots,P_n)\right|=2^n\]