Question: (a) For U = {1, 2, 3}, let A = P(U). Define the relation R on A by B R C if B C.

(a) For U = {1, 2, 3}, let A = P(U). Define the relation R on A by B R C if B ⊆ C. How many ordered pairs are there in the relation R?
(b) Answer part (a) for U = {1, 2, 3, 4}.
(c) Generalize the results of parts (a) and (b).

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