Chances are pretty high if you could afford higher fess as compare to others. I mean to say that your son can get CSE in VIT Vellore but not in Category 1. He can get CSE in either Category 3rd or even 4th depending upon the demand.
In 3rd category you will have to pay 3.98 Lakhs per annum as academics fees while in 4th category you will have to pay 4.78 lakhs per annum, excluding Mess and hostel charges.
All the best!!
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