Solved: Suppose the sets a1 a2 a3 and a4 each contain 25 elements, Mathematics

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Suppose the sets a1 a2 a3 and a4 each contain 25 elements

Question: a) Give a formula for the number of elements in the union of four sets and explain why it is valid.

b) Suppose the sets A₁, A₂, A₃, and A₄ each contain 25 elements, the intersection of any two of these sets contains 5 elements, the intersection of any three of these sets contains 2 elements, and 1 element is in all four of the sets. How many elements are in the union of the four sets?

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Mathematics: Suppose the sets a1 a2 a3 and a4 each contain 25 elements

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Mathematics: Suppose the sets a1 a2 a3 and a4 each contain 25 elements

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