Hi There,

Just went through the CEC website, and was confused. Though it says it is a virtual medium of learning, but does not stress more on their curriculum and outcome.
So best would be for you to rethink on your decision.
As far as BBA and MBA is concerned, both are management degree, BBA being a 3 years Undergraduate course, whereas MBA being a Post Graduate management study for 2 years after you Graduate.
BBA is affiliated to the Pune university. Hence the 3 years course would noty only be theoretical but will also include a lot of presentations and internship, the best way to learn the concepts.
This course makes you industrially well equipped.
Though you have knowledge about the 3 sectors like Marketing, HR and Finance, but you do not specialise in any one of them. So you just work as a Gradaute

So here it would be best to support your Graduation with an MBA degree.
MBA is a 2 years full-time course. The eligibility is clearing the entrance exam either at the state level ( CET, ATMA, SET) or All India level ( CAT) or private institute exams ( NMAT, XLRI)
Better to appear for 2 or more exams so that there is a surety to get through to one atleast.

Again here my advise is that though you have an idea about the specialization at the Graduate level, to know which one suits you, it would be best to work in the department, learn the work, gain experience and then opt for an [MBA program]

Please note that during the MBA qualifying round, scores are also given for experience that you have too.
Also the industry exposure will give you the functioning of the organization and can expand your choices.
Apart from the 3 specializations you could also think of:

• Hospitality Management
• Procurement
• Inventory management
• Supply chain management
• Risk Management
  

Hope this helps you further.

Wish you good luck..........