hello Chandrika,
Yes you can definitely register your name for both the courses MBBS as well as BDS with the same NEET score.All you need to do is select either MBBS or BDS or both the courses and during the choice filling process you need to select the names of the colleges as per your preference which provides these courses.
Hope this may help you.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile