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An NFA has 5 states. What is the maximum possible number of states in the DFA produced by the subset construction?

  • A.25
  • B.10
  • C.5
  • D.32

Answer: D

Each DFA state is a subset of the NFA states, so there are at most two to the power five, that is 32, of them including the empty set. In practice only the reachable subsets are constructed and the number is usually far smaller.

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