Let N be an NFA with n states. Let k be the number of states of a minimal DFA which is equivalent to N

Let N be an NFA with n states. Let k be the number of states of a minimal DFA which is equivalent to N

Q. Let N be an NFA with n states. Let k be the number of states of a minimal DFA which is equivalent to N. Which one of the following is necessarily true?

(A) 𝑘 ≥ 2𝑛                  (B) 𝑘 ≥ 𝑛                   (C) 𝑘 ≤ 𝑛2                  (D) 𝑘 ≤ 2𝑛

Ans: 𝑘 ≤ 2𝑛

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