S is the language over S = {a, b, c, d, e} containing all strings that...

S is the language over S = {a, b, c, d, e} containing all strings that start with at least 2 a's, followed by any number of b's, followed by 5 c's, followed by an odd number of d's, followed by an even number of e's. For example, S contains aaabbcccccdee, aaaacccccdddeeee, and so on. Write S symbolically in the manner of section 6.1, problem # 12 a) - f). Example 6.12 will also be helpful.

bonus: How many strings in {000, 11}^* have length 14?

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