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Suppose you are using the inclusion-exclusion principle to compute the number of elements in the union of four sets. Each set has 15 elements. The
Suppose you are using the inclusion-exclusion principle to compute the number of elements in the union of four sets. Each set has 15 elements. The pair-wise intersections have 10 elements each. The three-way intersections have 7 elements each. There are 2 elements in the intersection of all four sets. What is the size of the union?
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