In this talk we study different notions of entropy for Delone sets. For Delone sets of finite local complexity (FLC) in the euclidean space it is well known that the patch counting entropy equals the topological entropy of an associated shift system. It was suggested by J. Lagarias for FLC Delone sets in the euclidean space that the patch counting entropy can always be computed as a limit. We discuss why standard subadditivity arguments can not directly be used in order to see this claim. We present how the correspondence between the topological and the patch counting entropy can be used in order to show that the limit in the patch counting entropy formula exists for compactly generated LCA groups. We will also discuss that the matter becomes more complicated, whenever one considers general LCA groups.