Hey,
Well,yes you will get admission in BA LLB. But you need to get through the entrance examination of the respective law colleges where you want to take admission. BA LLB is a five years long integrated programme.Common Law Aptitude Test(CLAT) is one such Entrance Test that must be aced in order to get into the NLUs(National Law Universities)across India. You can also appear for the institution specefic entrance Test like Jamia Milia Islamia,University of Calcutta,Amity University and many more.
The fee for the government college is less as compared to the private colleges. The fee varies from 1 lacs to 10 lacs a year.
Hope this helps you.
Good luck.

Hey Pawan! The tuition fee for BA LLB ranges from INR 1 to 10 Lacs depending on colleges. Also, there are some colleges which offer this course at a minimal fee like Singhad Law College Pune offers the entire course in approximate INR 90,000 to 1 Lac. Usually, candidates can seek an entry to this course through entrance exams. The registration depends upon the entrance exam you want to register for. You can read the below article for more information.

https://www.shiksha.com/b-a-ll-b-chp