# Solved: Let S be the set of all strings of 0’s and 1’s,

## Problem 22E Chapter 7.2

Discrete Mathematics with Applications | 4th Edition

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Discrete Mathematics with Applications | 4th Edition

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Problem 22E

Let S be the set of all strings of 0’s and 1’s, and define D: S → Z as follows: For all s ∈ S,

D ( s ) = the number of 1’s in s minus the number of 0’s in s.

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

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

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Solved: Let S be the set of all strings of 0’s and 1’s,

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