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 * Y , how many elements are in that set? e) Is the following statement true? X * Y S W2 f) Considering it as a relation over the set of natural numbers, is X * Y symmetric, reflective and transitive? Explain why or why not for each property