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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

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)

पर्याय

  • Tautology

  • Contradiction 

  • Contingency

MCQ
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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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.2 [पृष्ठ १३]

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