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2. For each of the following languages L, state whether L is regular or not and prove your answer: a. {we {a,b,c}* : in each prefix x of w, #2(x) = #b(x) = #c(x))}. b. {we {a,b,c}* : 3 some prefix x of w (#a(x) = #b(x) = #c(x))}. c. {we {a,b,c}* : 3 some prefix x of w (x + and #a(x) = #b(x) = #c(x))}. 2. For each of the following languages L, state whether L is regular or not and prove your answer: a. {we {a,b,c}* : in each prefix x of w, #2(x) = #b(x) = #c(x))}. b. {we {a,b,c}* : 3 some prefix x of w (#a(x) = #b(x) = #c(x))}. c. {we {a,b,c}* : 3 some prefix x of w (x + and #a(x) = #b(x) = #c(x))}