Suppose that S $=\{$a$,$b$,$c$,$d$,$e$\}$ and R is a relation on S suchthataRb,bRc$,$anddRe.Listallofthefollowing that must be true if R is $($a$)$ reflexive $($but not symmetric or transitive$),($b$)$ symmetric $($but not reflexive or transitive$),($c$)$ transitive $($but not reflexive or symmetric$),$ and $($d$)$ an equivalence relation.

cRb cRc aRc bRa aRd eRa eRd cRa