Nowadays, exams are taken online. Now it will not matter that much if you have submitted the copy in the right portal. Again if you have given the examination in offline mode and you have a issued hall ticket for it and if you have put the right roll number and all the details then also there is higher percentage of possibility that you will not face any problem.
The options for regular and private are given so that it can be easy to sort the copies in two sections i.e., Regular and Private. So the probability says that you copy may go with the bunch of Private copies but while entry of marks your name will not be found as a result based on your roll number they will get your details and hopefully they will relocate your copies.
**It is highly advisable for you to atleast contact your college authority or the university and keep them posted. If they get any such discrepancies they will easily track it.
I hope this answer helps. All the very best for your future endeavors!
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