Find The Intersection Of Subsets

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Question

Let A, B and C be subsets of a universal set U and suppose n(U) = 100, n(A) = 30, n(B) = 30, n(C) = 32, n(A ∩ B) = 9, n(A ∩ C) = 10, n(B ∩ C) = 14 and n (A ∩ B ∩ C) = 5.

Compute n(AC ∩ BC ∩ CC).

a. 39
b. 14
c. 10
d. 70
e. 89
f. 64

Summary

The question belongs to Mathematics and it is about finding the intersection of all the subsets.

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