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Examine whether the following statement pattern is a tautology or a contradiction or a contingency. (p ∧ q) → (q ∨ p) - Mathematics and Statistics

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प्रश्न

Examine whether the following statement pattern is a tautology or a contradiction or a contingency.

(p ∧ q) → (q ∨ p)

विकल्प

  • Tautology

  • Contradiction 

  • Contingency

MCQ
योग
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उत्तर

p q p ∧ q q ∨ p (p ∧ q) → (q ∨ p)
T T T T T
T F F T T
F T F T T
F F F F T

All the entries in the last column of the above truth table are T.

∴ (p ∧ q) → (q ∨ p) is a Tautology.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Mathematical Logic - Exercise 1.2 [पृष्ठ १३]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.2 | Q 3.01 | पृष्ठ १३
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