BA and BBA are two different courses. In BA you can choose subjects like History, Geo, political, English, etc.. these are the subjects which you have studied in 10th std or you may have some knowledge about these subjects. Whereas in BBA this may be a complete new subject for which you have to study Business related topics. So before choosing a particular course like B.Com LLB, BCA LLB, BSc LLB, BBA LLB, BA LLB,etc research on that which course you find easy and comfortable for you. If you find BBA easy and comfortable you can go with that...but be sure they will not add value to your law degree these are just additional subjects which you have to study with 5 year LLB degree.

well you have already done R&D on the above courses so My suggestion will be as follows: -

that you should go for BBA LLB course after 10+2 Science .

if you have already done with your graduation from science and willing to enter in the world of law then directly enrol for LLB.

If you have special interest in the Arts subject then go for BA LLB