Yes, you are eligible for BBA course after 12th without mathematics (Arts stream). BBA is a 3 years under graduate course (6 semesters). There are some specializations as well under BBA such as Marketing, Finance, HR, Logistics, IB etc
your choice of doing BBA from LPU as it will give you a tremendous growth.
For every programme there is a defined eligibility criteria having a percentage cut-off and entrance exam (optional in few programmes).
For BBA, the eligibility is that a candidate should have minimum 50 percentage of aggregate marks with english. Therefore, entrance exam is not a compulsion in case of BBA. But i would like to recommend LPUNEST as this can provide you good amount of scholarship.
Even if are having a good percentage in your 12th marks i.e. 70 percentage or more, there is always a chance to enhance your scholarship.
Hope this information is of help to you.
Thanks!