A law firm has $70$ lawyers at the start of Year $1.$ Each year, $12\%$ of the lawyers $($rounded to the nearest integer$)$ leave the firm, while the firm recruits $6$ new lawyers. For instance, in Year $1,8$ lawyers will leave the firm $(12\%$ of $70),$ and $6$ new lawyers will join. At the end of Year $1,$ the firm will have $68$ lawyers $(70-8+6).$ The firm will start Year $2$ with $68$ lawyers. What will be the total number of lawyers in the firm at the end of Year $10?$

Select one:

a$.$

$57$

b$.$

$55$

c$.$

$56$

d$.$

$54$