Mathematics for IGCSE & O level - Sets (Section 3 - No. 2)

If n(A) = 5 and n(B) = 7, what is the maximum possible value of n(A ∪ B)?
5
7
12
35

Explanation

The maximum occurs when the sets are disjoint, so n(A ∪ B) = n(A) + n(B) = 5 + 7 = 12.

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