Elastic electron scattering from Ar@C 60 z+ (z = 1, 6) is investigated by employing Dirac partial-wave analysis within the static-exchange model. The C 60 cage is approximated using compact annular square well (ASW) and diffuse Gaussian annular square well (GASW) con nement potentials. In order to investigate the roles of Ar z+ and C 60 z+ targets in the e-Ar@C 60 z+ collision, the scattering dynamics of individual targets is also presented. A quantitative analysis of the total cross-section (TCS) and the differential cross-section (DCS) is presented, highlighting the effects of the charge state andpolarizability of the target. The rami cations of compact versus diffuse con nement potentials in modeling electron scattering with endohedral targets are also presented. This work concludes that the long-range Coulomb interaction dominates the elastic scattering process, compared to the short-range contributions, which makes the TCS independent of the target details, and only sensitive to the charge state.