Final answer:
The Capability Hierarchy allows for up to 65,536 levels in its series, with a parent capability allowing for 65,535 sub-levels of capabilities underneath it, used for managing access in capability-based security systems.
Step-by-step explanation:
The Capability Hierarchy in computer science supports up to 65,536 levels of capabilities in its series. This means that a parent capability can have 65,535 levels of sub-capabilities beneath its level.
The capability-based security model utilizes this hierarchy to control access to resources within a computer system by assigning capabilities that represent access rights to various objects in the system. It's designed to restrict the ability of software to perform actions that are not explicitly authorized, improving security by limiting the potential damage from software vulnerabilities or malicious software.