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Let A and B be two subsets of a universe U where |U| = 120. Suppose...

Let A and B be two subsets of a universe U where |U| = 120. Suppose that
|A^c ∩ B^c| = 25 and |A − B| = 15. Furthermore, there is a bijection f : A → B. Find
|A ∩ B|. Show all the steps involved in obtaining the answer, providing an explanation
for each step.

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