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Manipal MET2014MathematicsMathematical Reasoning

If p and q are two statements, then (p q) (q p) is

Options

  1. Atautology
  2. Bcontradiction
  3. Cneither tautology nor contradiction
  4. Deither tautology or contradiction

Correct answer

C. neither tautology nor contradiction

Step-by-step solution

By truth table array c|c|c|c|c|c|c p & q & (p q) & (p q) & q p & (q p) & array c (p q) (q p) array T & T & T & F & T & F & F T & F & F & T & F & T & T F & T & F & T & F & T & T F & F & F & T & T & F & T array It is clear that the given statement is neither tautology nor contradiction.

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