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(p ^^ ~q) ^^ (~p vv q) is...

`(p ^^ ~q) ^^ (~p vv q)` is

A

a tautology

B

a contradiction

C

both a tauology and a contradiction

D

neither a tauology nor a contradiction

Text Solution

Verified by Experts

The correct Answer is:
B
The truth table of ` ( p ^^ ~ q) ^^( ~ p vv q) ` is a given below:

The last column of the above truth table contains F only . So, the given statement is a contradiction.
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