Consider the relation R defined on $\{$ a$,$ b$,$ c$,$ d$,$ e$\}$ such that R $=\{($ a$,$b$),($ b$,$b$),($ b$,$c$),($ c$,$c$),($ c$,$d$),($ d$,$c$),($ d$,$e$),($ e$,$a$)\}.$ Which of the following is false?

$($c$,$b$)$ in R$4$

$($d$,$a$)$ in R$2$

$($b$,$b$)$ in R$7$

$($b$,$d$)$ in R$3$

$($a$,$e$)$ in R$5$

None of the choices