Solved: a) Give a formula for the number of elements in

Chapter 10, Problem 11RQ

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Problem 11RQ

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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