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Dear Sudharani, you surely have a chance of getting a seat in Sastra University. You will come under all India category. So be sure to not let your hopes go down even at second counseling as you may not get core branches at first round. Just book any branch available at first counselling. Even if you don't get at second counseling , you have the chance to slide to other branch depending on your score after first year.
All the best!
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