QUESTION 4 (4 points). Let A = {a, b, , d, f, g, h, k, w, x, y, z). (1) (1 point) How many relations are there on A that are reflexive, symmetric and contain all the elements (a,x), (w, d) and (x, a) ? (2) (1 point) How many relations are there on A that are antisymmetric and contain all the elements (c, c), (x, a) and (b, c), but do not contain the element (c,b)? (3) (2 points) How many relations are there on A that are reflexive, antisymmetric, and con- tain all the elements (x, a), (a, a), (b, d) and (a, z), but do not contain any of the elements (a,x),(a, b),(d, z), (2, d), or (c,d)