Muthoka, GeoffreyKamuti, IreriLao, HusseinKimani, Patrick Mwangi2022-10-272022-10-2720152224580422250522http://repository.embuni.ac.ke/handle/123456789/4194The cycle index of dihedral group D n acting on the set of X the vertices of a regular n- gon was studied (See [1]). In this paper we study the cycle index formulas of D n acting on unordered pairs from the set . In each case the actions of the cyclic part and the reflection part are studied separately for both an even value of and an odd value of .1.enArticle