Maharashtra State BoardHSC Arts 12th Board Exam
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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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Sum

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

[(p ∧ (p → q)] → q

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Solution

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.

Concept: Statement Patterns and Logical Equivalence
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 7.5 | Page 33

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