Use the formulas you know, and possible rearrangements/substitutions. Let A, B, and C be events or sets. Which of the following are always true?
a. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
b. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
c. A ∪ (B ∪ C) = (A ∪ B) ∪ C
d. A ∩ (B ∩ C) = (A ∩ B) ∩ C