1. let a be a set with n elements and let b be a set with m elements. a) how many functions are there with domain a and codomain b? b) how many of the functions from part a) are injective? (assume that n m.) c how many are bijective? (assume that m-n) 2. how many distinct words can be formed with 2 a's, 3 b's, and 2 c's? aba bbcc is such a word. 3. how many ways can a wedding photographer arrange 6 people in a row, including the bride and groom, such that a) the bride and groom are next to each other? b) the bride and groom are not next to each other? c) the bride is somewhere to the left of the groom?