Final answer:
The missing element of bureaucratic organization in the nightclub scenario is impersonality.
Step-by-step explanation:
The missing element of bureaucratic organization in the nightclub scenario is D) Impersonality.
A bureaucracy is characterized by explicit rules, a clear division of labor, hierarchy, and impersonality. Impersonality refers to taking personal feelings out of professional situations and treating all individuals in the organization equally. While the nightclub organization exhibits other elements of bureaucracy, such as specialization, hierarchy, and formal written communication through memos posted on the bulletin board, the fact that the bouncers let their friends into the club for free shows a lack of impersonality.