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Number of 2-state DFA's possible over sigma = { a,b }. with a designated initial state and a designated final state are ___.

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Let's take 2 states as q1 and q2.Now q1 on a can go to q1 or q2,q2 on a can go to q1 or q2.Similary for b.Hence 2^4=16 because initial and final states are fixed.

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