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Question

Which among the following statements is not a contradiction
  1. [p(pq)]q
  2. (pq)p
  3. [(pq)p]p
  4. (pq)(pq)


Solution

The correct option is B (pq)p
pqpqpq(pq)=xpx(px)q(pq)(pq)ppq=yy(pq)pq(pq)p=ttpTTTFFTFFFFFFTTFTFFFTTFFTTFFFTFFTFTFFFFTFFFTFFFFFTTTTFTFTFTFF

Clealry from the above truth table except statement  (pq)p all other given statements are contradictions.

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