Hi aspirant,
Your daughter got 123 marks in nata 2020 from Tamilnadu.
Now, look,
One should get 155+ marks, to get government seat
One should get around 130-155, to get a good private seat
One should get around 110-130, to get a private seat.
So, you have a good chance to get a seat in private college. She may get government college for b arch also. She has less chances to get it.
All the best!!
:)
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