Question: (3) Let n 2 2 be an integer and define [n] = {1, 2, ..., n}. Define the following sets: A = {SC [n] |

(3) Let n 2 2 be an integer and define [n] = {1, 2, ..., n}. Define the following sets: A = {SC [n] | 1 E S and 2 E S}, B = {SC | |{1, 2} nS| = 1}. In words: A is the collection of subsets that contain both 1 and 2, while B is the collection of subsets that contain exactly one of 1 and 2. Find formulas for the sizes of A and B (with explanation)

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