Hey there Mathematics,
Slightly confused over some of the things in my quiz and was wondering if I could get an explanation:
I thought with the first question that it's just one-to-one from X to Y and onto from Y to X, as Y would make sure all the elements within x were mapped to (or is this a trick question, since f(X)->Y : Y cannot map to X?)
If |X| = 3 and |Y| = 5, which of the following exist?
A) one-to-one function from X into Y
B) An onto function from X onto Y
C) one-to-one function from Y into X
D) An onto function from Y onto X
If |X| = 2 and |Y| = 3, how many functions are there from X into Y?
the numbers range 0 - 9