Step 1: Understanding the Question:
The question asks us to identify the correct coordinating conjunction to link two clauses: ``He can stay here'' and ``he can go home''.
Step 2: Key Concepts and Grammar Rules:
The sentence presents two alternative, mutually exclusive choices: staying here or going home.
In English grammar, coordinating conjunctions (often remembered by the acronym FANBOYS: For, And, Nor, But, Or, Yet, So) perform different functions.
The conjunction ``or'' is specifically used to introduce alternatives or choices.
Step 3: Detailed Explanation:
• Option (A) - but: This is used to show contrast (e.g., ``He can stay here, but he must study''). It does not fit a choice between two equal actions.
• Option (B) - and: This is used for addition (e.g., ``He can stay here, and he can eat dinner''). However, a person cannot physically stay here and go home at the same time, making ``and'' semantically incorrect.
• Option (C) - or: This correctly presents the two mutually exclusive choices available to the subject.
• Option (D) - yet: This is used to present a surprising contrast or concession, which is irrelevant to this scenario.
Step 4: Final Answer:
Therefore, the correct conjunction is ``or'', which corresponds to Option (C).