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1. (5 points) If S = {1,π, 3}, please find the power set of S.
P(S) =

2. (10 points) Suppose that A, B and C are all subsets of some universe U. Please show that
A ∩ (B ∪ C) ⊂ (A ∩ B) ∪ (A ∩ C)
3. (10 points) Pleases use induction to show that 2 + 4 + 6 + … + 2n = n(n + 1) .