Final answer:
The maximum value of n(A ∩ B) is 60, assuming all elements of the smaller set A are also elements of set B.
Step-by-step explanation:
The question asks what the maximum value of n(A ∩ B) is, if n(A) = 60 and n(B) = 80. In the context of set theory, n(A ∩ B) represents the number of elements in the intersection of set A and set B, which means the elements that are in both sets. The maximum value of n(A ∩ B) occurs when all elements in the smaller set are also in the larger set. Since n(A) is 60, and 60 is less than 80, the maximum number of elements that can be in both sets is 60, which is the same as the number of elements in set A.