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Using Truth Table, Examine Whether the Following Statement Pattern is Tautology, Contradiction Or Contingency: P ∨ ∼(P ∧ Q) - Mathematics and Statistics

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प्रश्न

Using truth table, examine whether the following statement pattern is tautology, contradiction or contingency: p ∨ [∼(p ∧ q)]

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उत्तर

Truth Table

(1) (2) (3) (4) (5)
p q p ∧ q ∼(p ∧ q) p ∨ [∼(p ∧ q)]
T T T F T
T F F T T
F T F T T
F F F T T

All entries in coloumn (5) are T's

p ∨ [∼(p ∧ q)] is Tautology.

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2016-2017 (July) Set 1

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