**give an example for every subset of a finite set is finite**

**Answer:**

A simple numerical example would be to consider a set of discrete numbers {0,1}. A subset that contains any combination of those numbers is a subset of that set. Since the set is finite so will be all subsets.

A more graphical approach would be to draw a circle, that circle represents a finite space. Any additional circle within that circle will be a subset and thus must also be finite.