English

The only statement among the following i.e., a tautology is ______. -

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Question

The only statement among the following i.e., a tautology is ______.

Options

  • A ∧ (A ∨ B)

  • A ∨ (A ∧ B)

  • [A ∧ (A → B)] → B

  • B → [A ∧ (A → B)]

MCQ
Fill in the Blanks

Solution

The only statement among the following i.e., a tautology is [A ∧ (A → B)] → B.

Explanation:

[A ∧ (A → B)] → B

A B   A → B A ∧ (A → B) [A ∧ (A → B)] → B
T T   T T T
T F   F F T
F T   T F T
F F   T F T
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Tautology, Contradiction, and Contingency
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