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प्रश्न
The simplified form of [(~ p v q) ∧ r] v [(p ∧ ~ q) ∧ r] is ______.
पर्याय
p
q
r
p ∧ q
MCQ
रिकाम्या जागा भरा
उत्तर
The simplified form of [(~ p v q) ∧ r] v [(p ∧ ~ q) ∧ r] is r.
Explanation:
[(~p v q) ∧ r] v [(p ∧ ~q) ∧ r]
= [~(p ∧ ~q) ∧ r] v [(p ∧ ~q) ∧ r] ...(Rule of negation)
= [~(p ∧ ~q) v (p ∧ ~q)] ∧ r ...(Distributive law)
= T ∧ r ...(Complement law)
= r ...(Identity law)
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या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?