countable connected Hausdorff space

Can anybody tell me what is a countable connected Hausdorff space??

I know that

Connected: A topological space is connected if it is not the union of a pair of disjoint sets

Countable: A set is countable if it is finite or countably infinite

Hausdorff space: has distinct points which have disjoint neighborhoods.

So by applying these three definitions does that mean a countable connected Hausdorff space is a finite connected space with disjoint neighborhoods?

How would one picture this?