Let A, B, and C be sets in a universal set U. We are given n(U) = 66, n(A) = 39, n(B) = 37, n(C) = 33, n(A ∩ B) = 21, n(A ∩ C) = 20, n(B ∩ C) = 21, n(A ∩ B ∩ CC) = 8. Find the following values. (a)    n((A ∪ B ∪ C)C) (b)    n(AC ∩ BC ∩ C)

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.