Xbox 360 Call Of Duty World At War Local Mutliplayer.?

im am getting a XBOX 360 Premium, and call o’ duty 5. I am pretty sure that it has LOCAL co-op,( by local i meen OFFline multi, like a friend comin over and we co-opin with 2 controlers on one console hope ye get it) but i want to play local multiplayer, with a friend who came over, so does it have a deathmatch, versus type of thing where friends can battle eachother. and what other games like that (fun vs. and story campaing and say if it;s M or T, no E’s please thanks!!!!). Oh, and everything i mentioned i meant for XBOX thankssssssssss