Let A = {a, b} and let S be the set of all strings of length 5 over A. Let f: S→ Z be defined as follows; f(s) = = the number of times a appears in s, for all s € S. Which of the following statements are true about f? The string 00000 is in S The range of f is {a, b} Of(aabab) = 2 The string aaaaa is in S The range of f is {0, 1, 2, 3, 4, 5}

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