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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Show that the following statement pattern is contingency. p ∧ [(p → ~ q) → q] - Mathematics and Statistics

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प्रश्न

Show that the following statement pattern is contingency.

p ∧ [(p → ~ q) → q]

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उत्तर

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

Truth values in the last column are not identical. Hence, it is contingency.

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पाठ 1: Mathematical Logic - Exercise 1.6 [पृष्ठ १६]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.6 | Q 5.3 | पृष्ठ १६
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