Choose the correct statement:

2018

Choose the correct statement:

  1. A.

    A = {an bn | n = 1, 2, 3, .... } is a regular language

  2. B.

    The set B, consisting of all strings made up of only a\'s and b\'s having equal number of a\'s and b\'s defines a regular language

  3. C.

    L(A * B) ∩ B gives the set A

  4. D.

    None of the above

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Correct answer: D

Option A describes the language {a^n b^n}, which is a standard context-free language proven to be non-regular due to counting constraints. Option B defines strings with equal 'a's and 'b's, which is also context-free but not regular for similar reasons. Since both statements are demonstrably false regarding regular languages, the correct selection is 'None of the above'.

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