Under what circumstance can appointees be removed by the President?

The correct response is that appointees can be removed by the President for good cause. This principle is rooted in the need for some level of accountability and justification for dismissals from high-ranking positions within the executive branch. The phrase "good cause" implies that there should be valid reasons related to the performance or conduct of the appointee that warrant removal, rather than arbitrary or capricious reasons.

This approach balances the President's authority to appoint individuals to help carry out executive functions with a system of checks that discourages misuse of this power. The requirement for good cause helps ensure that appointees can be held to certain standards, thereby promoting efficiency and integrity within government operations.

This concept is particularly relevant in discussions surrounding the balance of powers and the role of the executive branch in the broader governmental framework. The other options do not align with the constitutional and legal precedents regarding the removal of appointees.