# Question

Let S = {1, 2, . . . , n} and suppose that A and B are, independently, equally likely to be any of the 2n subsets (including the null set and S itself) of S.

(a) Show that

Let N(B) denote the number of elements in B. Use

(b) Show that

(a) Show that

Let N(B) denote the number of elements in B. Use

(b) Show that

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