JEE Main 2023 (Online) 11th April Morning ShiftQuestion 1
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 $\_\_\_\_\_\_$ .
Mathematical Reasoning
Answer$7$
Solution
The implication is false only when $(p\vee q)\wedge(p\vee r)$ is true and $q\vee r$ false: $q=r=F$, $p=T$. That is $1$ of $8$ triplets, so $7$ are true.