The statement pattern p ( p q) is - Vidyadip

MCQ

The statement pattern $p \wedge(\sim p \wedge q)$ is

A
a tautology
✓
a contradiction
C
equivalent to $p \wedge q$
D
equivalent to $p \vee q$

✓

Answer

Correct option: B.

a contradiction

(b) : $p \wedge(\sim p \wedge q)=(p \wedge \sim p) \wedge q$ $=F \wedge q=F$ i.e. contradiction.

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