Examine whether the following statement pattern is a tautology or a contradiction
or a contingency: (p ^ q) v (p ^ r)
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p q r ∼p ∼p→q p∧r (∼p→q)∧(p∧r)
T T T F T T T
T T F F T F F
T F T F T T T
T F F F T F F
F T T T T F F
F T F T T F F
F F T T F F F
F F F T F F F
The entries in the last column of the above truth table are neither all true nor a F.
∴(∼p→q)∧(p∧r) is a contingency
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