What is the difference between a Bachelor's degree in accounting, and Business admin accounting?

It stands for Bachelor's of Business Administration (B.B.A). I think they mainly do that to show the similarity between a B.B.A. and an M.B.A. Anyway, the B.B.A. is basically the same thing as a B.S. or B.A. in accounting. Loyola is a fully accredited institution by the AACSB, which is widely recognized as the gold standard of Business degrees throughout the country. You will still need to take the CPA to be a professional accountant, and you will still be able to get a job working for an accounting firm with that degree. So, it's virtually the same thing.