Rimberia, JaneKamuti, IreriKivunge, BernardKinyua, Francis2015-05-292015-05-292013Mathematical Theory and Modelinghttp://hdl.handle.net/123456789/1181The ranks and subdegrees of the symmetric group n S acting on [ ] r X , the set of all ordered r -element subsets from X have been studied (See Rimberia [4]). In this pape r, we examine some properties of suborbits and suborbital graphs of n S acting on [ ] r XenArticle