C. Operations on a Two-Element Set Let A be the two-element set A = {a,b). 1 Write the tables of all 16 operations on A. (Use the format explained on page 20.) Label these operations 0, to 0,6. Then: 2 Identify which of the operations 0, to 0,6 are commutative. # 3 Identify which operations, among 0, to 0,6, are associative. 4 For which of the operations 0, to 0,6 is there an identity element? 5 For which of the operations 0, to 0,6 does every element have an inverse? 16