Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets has 8 elements. If the union of all three sets contains 20 elements, how.many elements are common to al three sets? Show all calculations to justify your answer.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.