If A and B are two sets such that `A cup B` has 64 elements, A has 40 elements and B has 32 elements, how elements does `A cap B` have?

Explanation

To find the number of elements in the intersection of sets A and B (denoted as \( A \cap B \)), we can use the principle of inclusion-exclusion for sets. The formula we will use is:

\[ |A \cup B| = |A| + |B| - |A \cap B| \]

Where:
- \( |A \cup B| \) is the number of elements in the union of sets A and B.
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