Correct : d

Explanation:
1. Concept of NFA to DFA Conversion: By the subset construction algorithm, any Non-Deterministic Finite Automaton (NFA) with n states can be converted into an equivalent Deterministic Finite Automaton (DFA). The maximum possible number of states in this equivalent DFA is 2ⁿ. 2. Evaluate Statement (a): A regular language can be represented by multiple different NFAs. If the given NFA with n states is not minimized, there could easily exist an alternative NFA that accepts the same language using fewer than n states. Hence, this statement is True.

3. Evaluate Statement (b): While converting an NFA to a DFA typically increases or keeps the state count the same, it is completely possible for a language to have a DFA with fewer states than a poorly optimized, redundant NFA. Hence, this statement is True.

4. Evaluate Statement (c): According to the powerset construction, the upper bound for the number of states in the equivalent DFA is exactly 2ⁿ. Since the minimum DFA will always have less than or equal to 2ⁿ states, there definitively exists a DFA with ≤ 2ⁿ states that accepts L. Hence, this statement is True.

5. Evaluate Statement (d): As established by the standard upper bound rule (≤ 2ⁿ), a DFA accepting L will always have at most 2ⁿ states (and can often have far fewer after state minimization). It is completely false to claim that every DFA must have strictly greater than 2ⁿ states. Hence, this statement is False.

6. Conclusion: Since the question explicitly asks for the FALSE statement(s), option (d) is the correct choice.