Rimberia, J.Kamuti, I.N.Kivunge, B.Kinyua, F.2013-12-032013-12-032013Mathematical Theory and Modeling Vol.3, No.11, 20132225-0522http://ir-library.ku.ac.ke/handle/123456789/7751The 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 paper, we examine some properties of suborbits and suborbital graphs of n S acting on [r] X . Keyword: Suborbital graphs, Suborbits, Symmetric Group, Group actionenSuborbital graphsSuborbitsSymmetric GroupGroup actionArticle