( Please help me solve these 3 questions, please make the answer on paper with very good hand-writing. )

*BE CARFUL WITH WATERMARK AND SEE THE QUESTION WELL*

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a) Show that (a Vberc) - (aAb - c) is a tautology but its converse is contingency. b) If peerq is false, what is the truth value of (( p) Aq) (p V q)? Explain your answer.se Hero c) Let L(x) be the statement "x visited London", let P(x) be the statement "x visited Paris" and let N(x) be the statement "x visited New York", Express the statement "None of your friends visited London, Paris and New York." in terms of C(x), D(x), F(x), quantifiers, and logical connectives where the domain consists of all your friends