Consider the set A = {a, b, c, d, e, f, g, h). For each collection of subsets of A given below, state whether the collection is a partition of A. If it is a parition, verify that the 3-part defn of partition is satusfied by the collection. If the collection is not a partition, then explain exactly what parts of the defn of partition are violated. (a) C = {A1, A2, A3} where A = {a, b, c, d), A = {e, f, g} and A3 = {h}. = (b) C2 {A1, A2} where A = {a, e, g} and A = {b, c, d, f}. (c) C3 = {A1, A2, A3} where A = {a, b, c, d}, A = {e, f, g} and A3 = {f, g, h}.