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Hello Saurabh,
With 4679 you might not be able to get the EEE department in NIT Trichy, as per the previous years' trends. In 2018 the opening and closing rank for state quota students were 3098 and 10303 but for other states students it was 730 and 3474. However you can get this sweet of your choice if you are a resident student, that is, if you have a state quota to claim.
I hope this helps.
All the best.
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