Question: 3. Question 3-Regular languages closed under operations Let be some alphabet. We define the following operation on the set of all languages over . The

3. Question 3-Regular languages closed under operations Let be some alphabet. We define the following operation on the set of all languages over . The operation 3MAJ(L1, L2, L3) takes in three languages L1, L, and L; and outputs the language of all words that are members of the majority of the input languages. Formally: 3MAJL, Ls, LX) = {w E' at least two out of the L, L2, Ls contain w}, where is the set of all words over S. Prove that the class of regular languages is closed under the operation 3MAJ. 4 points

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