Maharashtra State BoardHSC Commerce 12th Board Exam
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If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following. (p ∧ ∼ q) ∨ (∼ p ∧ q) - Mathematics and Statistics

Sum

If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.

(p ∧ ∼ q) ∨ (∼ p ∧ q)

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Solution

(p ∧ ∼ q) ∨ (∼ p ∧ q) ≡ (T ∧ ∼ T) ∨ (∼ T ∧ T)

≡ (T ∧ F) ∨ (F ∧ T)

≡ F ∨ F

≡ F

Hence, truth value is F.

Concept: Mathematical Logic - Truth Value of Statement in Logic
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.09 | Page 32
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