Question: DISCRETE MATHEMATICS: Suppose U is a set containing 75 elements and A_1, A_2, A_3, A_4 are subsets of U with the following properties: Each subset

DISCRETE MATHEMATICS:

Suppose U is a set containing 75 elements and A_1, A_2, A_3, A_4 are subsets of U with the following properties:

Each subset contains 28 elements

The intersection of any two of the subsets contains 12 elements

The intersection of any three of the subsets contains 5 elements

The intersection of all four of the subsets contains 1 element

How many elements belong to exactly two of the four subsets?

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