Please consider the following sets: W = {3, 1, 6, 4, 0} X = {3, 1, 6, 0} Y = {5, 0, 6} Z = {a} a) What would be the size of each set? b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain why it does not exist. c) Define a function h from W to Z that is onto if it exists, otherwise explain why it does not exist. d) Consider the set X X Y, how many elements are in that set?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Please consider the following sets:
W = {3, 1, 6, 4, 0}
X = {3, 1, 6, 0}
Y = {5, 0, 6}
Z = {a}
a) What would be the size of each set?
b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain
why it does not exist.
c) Define a function h from W to Z that is onto if it exists, otherwise explain why it
does not exist.
d) Consider the set X x Y, how many elements are in that set?
Transcribed Image Text:Please consider the following sets: W = {3, 1, 6, 4, 0} X = {3, 1, 6, 0} Y = {5, 0, 6} Z = {a} a) What would be the size of each set? b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain why it does not exist. c) Define a function h from W to Z that is onto if it exists, otherwise explain why it does not exist. d) Consider the set X x Y, how many elements are in that set?
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