Consider the following Finite State Automaton. The language accepted by this automaton is given by the regular expression
Explanation: In this case, we would at least have to reach q1 so that our string gets accepted. So, b* a is the smallest accepted string.
Now, at q1, any string with any number of a’s and b’s would be accepted. So, we append (a + b)* to the smallest accepted string.
Thus, the string accepted by the FSA is b* a (a + b)*.
Thus, C is the correct choice.
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