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Check whether the following propositions are tautology, where P, Q, R are boolean variables. Write down true (T) or false (F) as well as justify

Check whether the following propositions are tautology, where P, Q, R are boolean variables. Write down true (T) or false (F) as well as justify your answer briefly. NOTE: Justification can be 12 lines or a truth table.

(a) P P Q

(b) (P Q) P Q

(c) (P Q) (Q P )

(d) (P Q) (R Q) R P

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