A company has $25$interviewers for a empty position of receptionist manager, vice$-$receptionist, and $5$ members of the account team. The account team members are considered identical position. $(1)$ How many ways can the position be filled from the $25$ applicant. $(2)$ If $15$of the applicant has a PHD degree and the other $10$ has an associate degree, how many ways can the position be filled so that $5$ or more of the new employee have PHD degree.