Final answer:
The term for careers involved in managing sport events and related activities is Sports Management.
Step-by-step explanation:
The general term used to identify professional careers in planning, organizing, leading, and controlling sport events, programs, personnel, and facilities is C) Sports Management. Sports management is a field concerned with the business aspects of sports and recreation. It encompasses various roles including but not limited to team management, sports marketing, event management, facility management, and sports finance. Those in the sports management field work to ensure that sports and athletic events operate smoothly, dealing with everything from athlete representation to the organization of international sports tournaments.