  Detailed investigations of structural, magnetic and electronic transport
properties of hole-doped high-entropy rare-earth manganites are presented. The
high-entropy samples (LaNdPrSmEu)$_{1-x}$Sr$_x$MnO$_3$
(0$\leq$\textit{x}$\leq$0.5), synthesized using the solid-state technique, show
a change in the crystal structure from \textit{Pbnm} to \textit{R-3c} with
increasing Sr substitution, attributed to the change in the tolerance factor.
Prominent ferromagnetic ordering is observed in the sample with a rhombohedral
structure (\textit{x}$\geq$0.3), originating from the dominant double exchange
mechanism mediated by itinerant electrons. Further, the Curie temperature is
smaller for the high-entropy sample with \textit{x}=0.3, as compared to
La$_{0.7}$Sr$_{0.3}$MnO$_3$, suggesting a strong relation between the Curie
temperature and the Mn-O-Mn bond angle associated with the reduced ionic radii
at the rare-earth site. The electrical resistivity of the high-entropy samples
is larger than those of La$_{1-x}$Sr$_x$MnO$_3$, which can be ascribed to the
reduced bandwidth due to the enhanced structural distortion. A concomitant rise
in magnetoresistance is observed for high-entropy samples with the increase in
Sr concentration. These findings considering the configurational complexity of
different rare-earths advance the understanding of high-entropy rare earth
manganites.
