I have a question. I have to prove that:
g has bijectivity <-> g has injectivity <-> g has surjetivity.
I know that the map is g: X -> Y. X and Y are both finite sets, and you know that the cardinality of X is the same as the cardinality of Y.
How do you proof this statement?
I don't know how to start, what to do, what to use...
Thanks for any help!