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2. (8 Points] Let S = {a,b}. Write regular expressions for the sets below. In each case, simplify your expression as much as possible. (a)

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2. (8 Points] Let S = {a,b}. Write regular expressions for the sets below. In each case, simplify your expression as much as possible. (a) All strings in 2* with no more than three a's. (b) All strings in * with a number of a's divisible by 3. (c) All strings in E' that do not end with bb

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