(a) Determine all systems of distinct representatives for the collection of sets A1 = {1, 2}, A2 = {2, 3}, A3 = {3, 4}, A4 = {4, 1}.
b) Given the collection of sets A1 = {1, 2}, A2 = {2, 3}, . . . , An = {n, 1}, determine how many different systems of distinct representatives exist for the collection.