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Determine whether the following statement pattern is a tautology, contradiction or contingency: [(p ∧ (p → q)] → q - Mathematics and Statistics

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प्रश्न

Determine whether the following statement pattern is a tautology, contradiction or contingency:

[(p ∧ (p → q)] → q

बेरीज
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उत्तर

p q p → q p ∧ (p → q) [p ∧ (p → q)] → q
T T T T T
T F F F T
F T T F T
F F T F T

All the entries in the last column of the above truth table are T.
∴ [(p ∧ (p → q)] → q is a tautology.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३३]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 7.5 | पृष्ठ ३३
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