Refer to the following hypothetical transitional matrix of the general HR department in a large manufacturing organization.

The table contains $2$ columns and $10$ rows.The headings of columns $1$ and $2$ are as follows: $2013$; $2016.$ Column $2$ is further divided into $8$ columns with the following column headings: $(1)$; $(2)$; $(3)$; $(4)$; $(5)$; $(6)$; $(7)$; $(8).$ Column $1$ contains entries, columns $2$ to $9$ contains values.

How many of the total sales representatives employed in $2013$ were promoted to the sales manager position in $2016?$