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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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

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प्रश्न

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

(~ q ∧ p) ∧ (p ∧ ~ p)

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उत्तर

p q ~p ~q (~q∧p) (p∧~p) (~q∧p)∧(p∧~p)
T T F F F F F
T F F T T F F
F T T F F F F
F F T T F F F

All the truth values in the last column are F. Hence, it is a contradiction.

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पाठ 1: Mathematical Logic - Exercise 1.6 [पृष्ठ १६]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.6 | Q 2.2 | पृष्ठ १६
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