Hey.

For making a choice between the various law courses, here is some insight upon them. BA LLb, BCOM LLB, BBA LLB are 5 year Integrated Law course which will combine and undergraduate degree along with Law. So normally it would take you 6 years to complete such a course- 3 years for BBA/BA/BCOM and 3 years for Law but here it is an integrated course completed im 5 years. And in case of 3 year LLB it can be pursued if you have already completed graduation separately.

While choosing between them you should know that the career opportunities offered by all the courses do not vary much. A BBA/BCOM LLB graduate will not have any edge above a BA LLb graduate and vice a versa. The onlu different that is that in case you further seek to specialise in any filed of law such as Business Laws, Corporate Laws etc you might gain a better hold over the terminologies and basics of the business world. In case you decide to pursue Corporate Law, the chances still remain the same, practically. BA graduates have equal opportunities like a BBA graduate. The placements for both are similar. It matters more on the internships, moots, research papers more than the choice of course. So you can even pursue BA LLB while being interested in corporate law. As the colleges like NLU delhi, NLS Bangalore with the highest and best placements in corporate offer only BA LLB. Hence, while deciding you should look at what subjects you are interested it and pursue that course as it will make your entire course more fruitful. Also, make sure that you consider the plans that you have in mind for the future, which can help yoi decide which course you would want to opt. Even though the choice between them will not cause any huge difference in your career opportunities. 

Best of luck