Let S be the set of all strings of a’s and b’s, and define

Chapter 7, Problem 24E

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Problem 24E

Let S be the set of all strings of a’s and b’s, and define N: S Z by

N ( s ) = the number of a’s in s, foralls S.

a. Is N one-to-one? Prove or give a counterexample.

b. Is N onto? Prove or give a counterexample.

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