Hello,
Your rank of 10k EWS rank is a bit below par and thus definitely hurt your chances for getting a seat through JoSAA counseling. Your Home State NIT is the best chance you have got with these ranks. For example, a student of Punjab can get EIE for 12k EWS rank also in NIT Jalandhar. Though, I am guessing by your name that your state of eligibility is some southern state. In that case, your chances are very less due to the quality of NITs in the south and also the demand among students. Yet you might get some north-eastern NITs through the special round but waiting for it is a risk and I would strongly recommend against it. All the best
Thank You
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