If A = {w, x, y, z}, determine the number of relations on A that are (a)

Question:

If A = {w, x, y, z}, determine the number of relations on A that are
(a) Reflexive;
(b) Symmetric;
(c) Reflexive and symmetric;
(d) Reflexive and contain (x, y);
(e) Symmetric and contain (x, y);
(f) Antisymmetric;
(g) Antisymmetric and contain (x, y);
(h) Symmetric and antisymmetric; and
(i) Reflexive, symmetric, and antisymmetric.