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 impersonality. A bureaucracy is characterized by the removal of personal feelings from professional situations, which is achieved through impersonality. This characteristic grew out of a desire to prevent favoritism and nepotism and to protect customers and others served by the organization. While the nightclub has elements of bureaucracy, the bouncers getting their friends in for free violates the principle of impersonality.