JEE Main 202311 AprilMorning Shift
- Exam
- JEE Main
- Year
- 2023
- Date
- 11 April
- Shift
- Morning Shift
- Subject
- Mathematics
- Chapter
- Mathematical Reasoning
JEE Main 2023 · 11 April · Morning Shift · Mathematics · Mathematical Reasoning
The number of ordered triplets of the truth values of p, q and r...
The number of ordered triplets of the truth values of such that the truth value of the statement \left(p ∨ q\right) ∧ \left(p ∨ r\right) ⇒ \left(q ∨ r\right) is True, is equal to
Correct answer
0
Step-by-step solution
Given,
Expression
Now by truth table we get,
| \left(p ∨ q\right) ∧ \left(p ∨ r\right)q ∨ r | |||||||
| T | T | T | T | T | T | T | T |
| T | T | F | T | T | T | T | T |
| T | F | T | T | T | T | T | T |
| T | F | F | T | T | T | F | F |
| F | T | T | T | T | T | T | T |
| F | T | F | T | F | F | T | T |
| F | F | T | F | T | F | T | T |
| F | F | F | F | F | F | F | T |
Now from above truth table we can say that there are total triplet are possible.