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Let A, B, and C be subsets of a universal set U, as in the diagram to the right. Use the information given below to

Let A, B, and C be subsets of a universal set U, as in the diagram to the right.

Use the information given below to determine the number of elements in each numbered region.

n(A) = 29, n(B) = 45, n(A ∩ B) = 8,
n(C ∩ B) = 20, n(C ∩ A) = 17,
n(A ∪ B ∪ C) = 80, n(A ∩ B ∩ C) = 3,
n((C ∪ B)') = 22

Enter the number of elements in each region, in order, separated by commas.

A B III VI II IV VIII VII

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