(40) Prove or disprove each of the following. (a) If n = p where p is prime, then there are exactly 2 distinct (up to isomorphism) Abelian groups of order n. (b) If n = p where p is prime, then there are exactly 3 distinct (up to isomorphism) Abelian groups of order n. (c) If n = pk where p is prime, then there are exactly k distinct (up to isomorphism) Abelian groups of order n. I