Question: Design a regular language where every sentence has to start with any number of strings 101 (any number is none or more), then repeats 00

Design a regular language where every sentence has to start with any number of strings 101 (any number is none or more), then repeats 00 any number of times, then repeats 01 at least once.

For the above, how many valid strings there are?

For the above, how many valid strings are there if we restrict the total length to a) at most 7 bits? b) exactly 7 bits?

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