Hello, In terms of career options for a higher chance of recruitment, BA and BSC will require you to study further MSC, B.Ed. etc. and then go into teaching field. In case of BBA you can just do your MBA further to get recruited. But in terms of subject knowledge that will help in your UPSC preparation you have to study both the theoretical and application oriented part of economics. BBA offers application studies in the business field, while BSC is more of a mathematical approach to arriving at the solution and BA is the theory and principle behind the application.

Hope this helps.