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}

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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}
=
Transcribed Image Text: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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