Dear aspirant
In private mbbs colleges mostly there are two types of seat management/general merit seat and NRI seats. In some of State private colleges have also some government quota seats which fees are less than management quota seats in states like Karnataka,Andhra etc. Rajasthan have management quota seats in government college which fees are much higher than normal govt mbbs fees.
This management quota seats are decide by college itself or by state counselling authority.
In state like up, mp, chattisgarh, bihar, Kerala, Karnataka, tripura, some management quota seats on private colleges are open for students all over India. So you can apply to these state of you don't have domicile too.
Hope this information helps you
All the best !!
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