We were able to determine the number of elements in the union of two sets with the formula
n(A ⋃ B) = n(A) + n(B) − n(A ∩ B).
Can you determine a formula for finding the number of elements in the union of three sets? In other words, write a formula to determine n(A ⋃ B ⋃ C). [Hint: The formula will contain the of the following: n(A), n(B), n(C), n(A ∩B ∩C), n(A ∩B′∩C), n(A′∩B ∩C), and 2n(A ∩B ∩C).
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