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Which of the following statements is false? - Mathematics and Statistics

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Question

Which of the following statements is false?

Options

  • `p ∧ (∼ p)` is contradiction

  • `(p → q) ↔ (∼ q → ∼ p)` is a contradiction

  • `~ (∼ p) ↔ p` is a tautology

  • `[(p → q) ∧ (∼ q)] → (∼ p)` is a tautology

MCQ
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Solution

`bb((p → q) ↔ (∼ q → ∼ p))` is a contradiction

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 29]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.04 | Page 29

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