2. Functions and Cardinality. For this problem, there are four possible sets N, Z, R, and [n] = {1,2,3,...,n}. You will randomly select your domain and co-domain from these options. Based on your selection, does there exist a function f :[ | [ ]that is bijective? only injective? only surjective? none of the above? While you do not have to produce an example, you do need to be able to give a convincing reason why or why not (and an example is surely convincing.)