Let S be the set of all strings of O's and 1's, and define D:S - →→→ Z as follows: For every s ES, D (s) = = the number of 1's minus the number of O's in s. Which one of the following statements about D is true? D is not 1-1 but is onto. D is 1-1 and onto. D is not 1-1 and not onto. D is 1-1 but not onto.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let S be the set of all strings of O's and 1's, and define D:S -
→ Z as follows:
For every s E S, D (s) = the number of 1's minus the number of O's in s.
Which one of the following statements about D is true?
D is not 1-1 but is onto.
D is 1-1 and onto.
D is not 1-1 and not onto.
O D is 1-1 but not onto.
Transcribed Image Text:Let S be the set of all strings of O's and 1's, and define D:S - → Z as follows: For every s E S, D (s) = the number of 1's minus the number of O's in s. Which one of the following statements about D is true? D is not 1-1 but is onto. D is 1-1 and onto. D is not 1-1 and not onto. O D is 1-1 but not onto.
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