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) ๐‘˜ โ‰ฅ 2๐‘›                  (B) ๐‘˜ โ‰ฅ ๐‘›                   (C) ๐‘˜ โ‰ค ๐‘›2                  (D) ๐‘˜ โ‰ค 2๐‘›

Ans: ๐‘˜ โ‰ค 2๐‘›

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