Let A = {v, w, x, y, z}. Determine the number of relations on A that are
(a) Reflexive and symmetric;
(b) Equivalence relations;
(c) Reflexive and symmetric but not transitive;
(d) Equivalence relations that determine exactly two equivalence classes;
(e) Equivalence relations where w ∈ [x];
(f) Equivalence relations where v, w ∈ [x];
(g) Equivalence relations where w ∈ [x] and y ∈ [z]; and
(h) Equivalence relations where w ∈ [x], y ∈ [z], and [x] ≠ [z].