A Bachelor of Arts degree goes to somebody who gets a bachelor degree in any non-technical, or science related field. A Bachelor of Science degree goes to somebody who does get a degree in a science related field. The designations are set up by the colleges themselves.
So, what's the difference? Does it really matter?
The answer to that question may shock you. It matters very much.
The reasons will not be immediately apparent to the student, but when he or she goes into the real world to get a job, they are going to be in for a rude awakening if they're looking for a specific type of job and don't have a bachelor of science degree.
If you're scratching your head wondering why this even matters, the answer is as follows. Most Bachelor of Science programs are a little more intense than a Bachelor of Arts program. In other words, in addition to the degree having to be in a science related field, the degree itself will contain more required courses than a Bachelor of Arts degree. Of course this varies from college to college, but within each school the bachelor of science program is always more intense than the bachelor of arts program.