CLAT is conducted for admission to five year integrated program to 14 National Law Universities and 52 private college, in case of Calcutta University it conducts its own entrance test for BA-LLB.
You can get admission in The West Bengal National University of Juridical Sciences,Kolkata through CLAT. Application form is open and you can apply at http://www.clat.ac.in/
Calcutta University will conduct Calcutta University BA LLB entrance test tentatively in the last week of June 2020.
Then you can apply for getting admission there , tentatively they will release the application form around the first week of June 2020.
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Hope it helps !