Step 1: Explaining Server Management Roles:
Under Microsoft Windows Server operating systems, server roles are organized into specialized service categories to handle centralized enterprise management.
Step 2: Identifying the Core Directory Service:
The central system that manages identity directory listings, access permissions, and domain security policy files is Microsoft's Active Directory. Specifically, the core directory service role is designated as Active Directory Domain Services.
Step 3: Conclusion:
Evaluating the options, Active Directory Domain Services matches option (C).