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In NFA on receiving a input, a state can transit to how many number of subsets of states Q.Select one:a. Q(Q+1)/2b. Q^2c. Qd. 2^Q

Question

In NFA on receiving a input, a state can transit to how many number of subsets of states Q.Select one:a. Q(Q+1)/2b. Q^2c. Qd. 2^Q

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Solution

The correct answer is d. 2^Q.

In a Non-deterministic Finite Automaton (NFA), upon receiving an input, a state can transition to any number of subsets of states Q. The number of subsets of a set with Q elements is 2^Q (including the empty set and the set itself). This is based on the principle of set theory in mathematics. Therefore, an NFA can transition to 2^Q different states on receiving an input.

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