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Number of states in the $\text{DFA}$ accepting the language $L=\{a^{n}b^{n}|1\leq n\leq 3\}$ over $\sum=\{a,b\}.$
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There is not much to explain this automaton. However, the only take away with this question is that to not add any new state until and unless it is really necessary.

HTH

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