3
Question
Using truth tables, examine whether the statement pattern (p∧q)∨(p∧r) is a tautology, contradiction or contingency
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Solution
p q r p∧q p∧r (p∧q)∨(p∧r) T T T T T T T T F T F T T F T F T T T F F F F F F T T F F F F F T F F F F T F F F F F F F F F F
From the truth table it is neither a tautology nor a contradiction, hence can be termed as contingency.
| p | q | r | p∧q | p∧r | (p∧q)∨(p∧r) |
| T | T | T | T | T | T |
| T | T | F | T | F | T |
| T | F | T | F | T | T |
| T | F | F | F | F | F |
| F | T | T | F | F | F |
| F | F | T | F | F | F |
| F | T | F | F | F | F |
| F | F | F | F | F | F |
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