1. The problem asks to find the intersection of sets $M$ and $Z$, denoted as $M \cap Z$. 2. The intersection of two sets contains all elements that are common to both sets. 3. Given: - $M = \{a, b, c, d\}$ - $Z = \{b, d, e\}$ 4. Find elements that appear in both $M$ and $Z$: - $b$ is in both - $d$ is in both 5. Therefore, $M \cap Z = \{b, d\}$. 6. The correct answer is option A) $\{b, d\}$.