Note: All graphs in this asisgnment are simple and undirected.

Draw a tree $T$ of $9$ vertices $\{a,b,c,d,e,f,g,h,i\}$ such that the degree

of $a$ is $5,$ the degree of $b$ is $2,$ the degree of $c$ is $2,$ the degree of $d$ is

$2,$ the degree of $e$ is $1,$ the degree of $f$ is $1,$ the degree of $g$ is $1,$ the

degree of $h$ is also $1$ and the degree of $i$ is unspecified. What can the

degree of $i$ be$?$