Question: Let A, B and C be 3 languages over the same alphabet: AtLeast2(A,B,C) = {w | w is in at least 2 of the 3

Let A, B and C be 3 languages over the same alphabet:

AtLeast2(A,B,C) = {w | w is in at least 2 of the 3 languages A, B and C }

Show that if A, B and C are regular languages, then so is AtLeast2(A,B,C).

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