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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following: p ∨ (q ∧ r) - Mathematics and Statistics

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प्रश्न

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

p ∨ (q ∧ r)

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उत्तर

Truth values of p and q are T and truth values of r and s are F.
p ∨ (q ∧ r) ≡ T ∨ (T ∧ F)
                  ≡ T ∨ F ≡ T
Hence the truth value of the given statement is true.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.1 [पृष्ठ ७]

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