Maharashtra State BoardHSC Arts 12th Board Exam
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Construct the truth table of the following: [(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)] - Mathematics and Statistics

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Sum

Construct the truth table of the following:

[(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)]

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Solution

p q r p∧q (p∧q) ∨ r ∼r ∼r ∨ (p∧q) [(p∧q) ∨ r] ∧ [∼r ∨ (p∧q)]
T T T T T F T T
T T F T T T T T
T F T F T F F F
T F F F F T T F
F T T F T F F F
F T F F F T T F
F F T F T F F F
F F F F F T T F
Concept: Logical Connective, Simple and Compound Statements
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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 6.4 | Page 33
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