There are $16$ teachers who can teach Thermodynamics (TD), $11$ who can teach Electrical Sciences (ES), and $5$ who can teach both TD and Engineering  Mechanics (EM). There are a total of $40$ teachers, $6$ cannot teach any of the three subjects, i.e. EM, ES or TD.$6$ can teach only ES. $4$ can teach all three subjects, i.e. EM, ES, and TD. $4$ can teach ES and TD. How many can teach both ES and EM but not TD?

1. $1$
2. $2$
3. $3$
4. $4$