I am learning about finitely generated groups at the moment and in the text book, they mention torsion groups, which they give the definition as:
A group $G$ is a torsion group if every element of $G$ is of finite order.
They then go on to state, when listing examples of torsion groups, that
"Every finite group is a torsion group"
I understand how cyclic groups would be a torsion group, but I am having trouble understand how a finite permutation group would be a torsion group. If anyone could help clarify why, it would be greatly appreciated.