I'm not positive, but I think we only allow bear hunting either one day per year or one week. In any case, it's such a short season that you really have to stay on top of when the opportunity to hunt them exists.
They are becoming a nusiance in a lot of the upstate counties, especially in the foothills between NC and SC, and a lot of "hunting" simply involves watching a trash collection dump. I have some friends that are hunting bears in Alaska this month, which seems like much more fun. They are flown in and dropped off on an island, and picked up two weeks later... so they not only have a longer season, it's really "wild" hunting.
I used to work in Tennessee and went through both the NC and SC mountains to get to my job. On one trip through, I found a dead bear cub in the median ground, and had a horrible time trying to get anyone from the NC wildlife agency to bother to come check on it. Usually, the female bears will hang around when something happens to their cubs and it can be dangerous. I was really surprised by their lack of response.