Problem : Suppose that $X$ is a finite set, and is Hausdorff as a topological space. Show that $X$ is discrete (as a topological space).
Thoughts: I'm not even quite sure what the question is asking. I know the definition of a discrete topology is that a set is open in $X$ if it is a subset of $\mathcal P(X)$, so then can't the discrete topology be applied to any set and so any $X$ is discrete? Any help appreciated.