Dear Diksha, even with your Arts as subjects in your Class 12, you can attempt Entrance Examinations for 3 year and 5 year Law Courses. CLAT is one such entrance examination. If you score a mimimum of 45% in your 10+2 you are eligible to appear for CLAT. For students of reserved category, it is 40%. CLAT is just one such entrance examination. You can check more information about CLAT at https://law.careers360.com/exams/clat.

Then depending upon the state you want to pursue your Law from, there are State Level Entrance Examinations. There are few Private Institutions that take admissions based on their own Entrance Examination and dome based on merit in your 12th. 

Hi Diksha. Entrance examinations for LLB will begin in the month of July,2019 (tentatively in the second week of july) . But if you don't want to give the entrance examinations,  then you can take admission in some private university or college. In my personal opinion, you Should give entrance exam. In case you do not get a seat, then you can take admission in private institue. 

I hope this information has helped you:)