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

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

A

a tautology

B

a contradiction

C

neither a tautology nor a contradiction

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`(p^^~q) ^^(~p ^^q)`
`-=(p^^~p) ^^(~q^^q)`
`-=f^^f`
`-=f` (By using associative laws and commutative laws)
Therefore, `(p^^~q) ^^(~p ^^q)` is a contradiction.
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