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)

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.

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