I am also interpreting the question in the same way...they are asking for the number of distinct states present in the final partition.

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As per my knowledge, they are indirectly asking the number of states in minimized DFA

because of the number of distinct set in myhill nerode theorem corresponds to a number of states minimized DFA. So answer should be 4

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because of the number of distinct set in myhill nerode theorem corresponds to a number of states minimized DFA. So answer should be 4

<q0,q4><q1,q2><q3><q5>

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