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Verify whether the following compound propositions are tautologies or contradictions or contingency. (p ∧ q) ∧¬ (p v q) - Mathematics

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प्रश्न

Verify whether the following compound propositions are tautologies or contradictions or contingency.

(p ∧ q) ∧¬ (p v q)

तक्ता
बेरीज

उत्तर

p q p ∧ q p  v q ¬ (p v q) (p ∧ q) ∧¬ (p v q)
T T T T F F
T F F T F F
F T F T F F
F F F F T F

The entries in the last column are only F.

∴ The given statement is a contradiction

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Mathematical Logic
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.2 [पृष्ठ २४९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.2 | Q 7. (i) | पृष्ठ २४९

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