Ten > Sets
If A and B are two non-empty sets with m and n (m > n) elements, respectively. What is the maximum number of elements in \( \rm (A \cap B) \)?
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Solution
Option C is the correct answer.
When a set A has m elements and another set B has n elements, set A always has at least one more element than set B. However, it is possible for all elements of set B to be contained in set A. In other words, when set B is a proper subset of set A, the elements in $(A \cap B)$ can be maximized and $(A \cap B) = n$.
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