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Let P, Q, R be true, false, false, respectively, which of the following is true?

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Let P, Q, R be true, false, false, respectively, which of the following is true?

(a) P∧(Q∧~R)

(b) (P->Q)∧~R

(c) Q<->(P∧R)

(d) P<->(QvR)

The question was posed to me by my college professor while I was bunking the class.

This question is from Logics topic in division The Foundation: Logics and Proofs of Discrete Mathematics

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Correct option is (c) Q<->(P∧R)

The explanation: For a bi-conditional to be true both inputs should be the same.

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