Q56 / 90 · JEE Main 2023 (11 Apr Shift 1) · Mathematics
The number of ordered triplets of the truth values of and such that the truth value of the statement is True, is equal to
Correct answer: 7
Solution
Given,
Expression
Now by truth table we get,
| 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.
Hence, the correct answer is 7.