P2.10.XC (10) Let A {a1, , ,an} be a finite set and P the set of all possible partitions of A. Your task is to define a partial order on P so that ai), {a2), [an)) is the maximal element and fa1, a2, .., an]] is the minimal element. Prove that your solution is indeed a partial order Hint: any partition represents an equivalence relation; define an order on such relations