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Please explain the why A and D are correct?

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Option (d) is the only correct answer here. Following points can be used to eliminate other 3 options

  1. It cannot produce {bb, bbb, bbbb….} or empty string
  2. It cannot produce {bb, bbb, bbbb….}
  3. It cannot produce empty string
  4. It can produce all strings of given DFA including {b, bb, bbb, bbbb….} and empty string

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