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Which of the following statements is contingency?A. `(pvvq)vv ~q`B. `(p vv q) v~q`C. `(p vvq) ^^ ~q`D. `p to ( p vv q)` |
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Answer» Correct Answer - C Option (1) `(p vv q) vv ~ q` `-= p vv (q vv q) -= p vv T` `-= T` which is a tautology. Option (2) `(p vv q) v ~` `-= (p vv ~ p) vv q -= T vv q` `-= T` which is tautology. Option (3) `(p vv q) ^^ ~q` `-= (p ^^ q) vv (q ^^ ~ q) -= ( p ^^ ~ q) vv F` `-= (p ^^ ~ q)` if `p to T, q to T`, Then, `p ^^ ~ q to F` if `p to T, q to F` Then `p ^^ ~ q to T` So, `(p ^^ ~q)` is a contingency. Therefore statement `(p vv q) ^^ ~ q` is contingency. |
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