It is rare to have both UC and CD but it is possible, about 2% of IBD patients do in fact have both UC and CD....that said, many GI's don't seem to have a clue when it comes to detecting the specific pattern of inflammation that comes with CD and differs from UC, with CD the inflammation is patchy, with UC it isn't, with CD the inflammation can go through the many layers of the intestinal lining, with UC it stays on the surface of the lining only.
I also have crohn's colitis which is CD affecting the colon, there are 5 sub-types of crohn's disease (an easy google search) since CD can affect the entire GI tract from mouth to anus, UC is limited to the colon/rectum, the rectum is commonly where UC starts to do it's dirty work, but that's not written in stone anymore than CD always starting in the small intestines as it can pop up anywhere when you first become sick.
Chances are it's crohn's colitis that you're dealing with and don't have both, but I just wanted to clarify a few things since many get confused by their docs, probably cuz their docs are often confused too lol!