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