# Totally disconnected but not totally separated

A topological space $$X$$ is totally disconnected if all of its components are singeltones, and $$X$$ is said to be totally separated if all of its quasi-components are singeltones. The set of rational numbers as well as the Cantor set are both totally disconnected and totally separated. I need an example of a space which is totally disconnected but not totally separated i.e. a space whose components are singeltones, but at least one of its quasi-components consist of more than one element.