A certain Computer Science Department has $100$ students. The department offers courses in Artificial Intelligence $($AI$),$ Data Science $($DS$),$ and Cyber Security $($CS$).$ All the students in the department are eligible to register for any of the courses in the programs. There are $33$ students in the AI courses, $26$ in the DS courses, and $15$ in the CS courses. There are $11$ students in both AI and DS$,5$ students in both DS and CS$,$ and $8$ in both AI and CS$.$ There are $5$ students taking courses in all three programs.