Hi Aspirant,
BBA LLB can be a good option for you if you are planning to pursue CS in the long run.  Doing CS with BBA LLB you can later do LLM or MBA, which i see is a quite better option. CS or company secretary is a demanding course and a full-fledged career option in itself.Combined with law, it has the potential to unlock those hallowed doors of the corporate world to you that may lead you to the stairway of success.
After completion of BBA LLB, you will get some papers exemptions in CS too. Go through the CS Institute website for more details.

All the very best