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Question
Which of the following Boolean expression is a tautology?
Options
(p ∧ q) ∧ (p→q)
(p ∧ q) ∨ (p ∨ q)
(p ∧ q) ∨ (p→q)
(p ∧ q)→(p→q)
MCQ
Solution
(p ∧ q)→(p→q)
Explanation:
| p | q | p ∧ q | p→q | (p ∧ q) →(p→q) |
| T | T | T | T | T |
| T | F | F | F | T |
| F | T | F | T | T |
| F | F | F | T | T |
(p ∧ q)→(p→q) is tautology.
shaalaa.com
Tautology, Contradiction, and Contingency
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