Let A, B, and C be sets in a universal set U. We are given n(U) = 88, n(A) = 47, n(B) = 42, n(C) = 50, n(A ∩ B) = 26, n(A ∩ C) = 23, n(B ∩ C) = 23, n(A ∩ B ∩ CC) = 15. Find the following values. (a)    n((A ∪ B ∪ C)C) (b)    n(AC ∩ BC ∩ C)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let AB, and C be sets in a universal set U. We are given n(U) = 88, n(A) = 47, n(B) = 42, n(C) = 50, n(A ∩ B) = 26, n(A ∩ C) = 23, n(B ∩ C) = 23, n(A ∩ B ∩ CC) = 15. Find the following values.

(a)    n((A ∪ B ∪ C)C)


(b)    n(AC ∩ BC ∩ C)
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