Both of these degrees are undergraduate degrees and depending on the specialization you choose, have different effect on your CV when applying for a job in the banking sector.
For example, a candidate with a degree in B.Com (banking and insurance) will have an edge over a candidate that has a general B.Com or BBA degree as their course prepares them with a skillset made for the particular job sector.
However, a candidates performance in the interview rounds as well as their knowledge and understanding of banking might tip the scales in their favour as well.
IILM University Gurgaon WWW.IILM.EDU (//WWW.IILM.EDU) .IN
For banking it is not necessary to be a Bachelors of Commerce (BCom) or Bachelors of Business Administration(BBA) graduate, as after graduation the entrance exams would decide your selection much more. But to be precise to have a good background in Finance and Banking related field you may pursue Bachelors of Commerce BCom, this will give a better knowledge of Finance and Commerce industry which is more close to Banking sector. For further doubts, feel free to ask.
All the best