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Question
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 |
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