Question: Let A, B, and C be any three events defined on a sample space S. Show that the operations of union and intersection are associative

Let A, B, and C be any three events defined on a sample space S. Show that the operations of union and intersection are associative by proving that
(a) A ∪ (B ∪C) = (A ∪ B) ∪C = A ∪ B ∪C
(b) A ∩ (B ∩C) = (A ∩ B) ∩C = A ∩ B ∩C

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