The horrible possibility

To demonstrate how illogically college basketball's championship process is constructed, consider this. Some conferences allow all eligible teams to participate in their post-season tournament, and pick the winner as their NCAA representative. Thus, a team could be 0-29 in the regular season, win four games in the tournament, then win seven games (counting an assumed First Four contest) in the NCAA tournament, and be the National Champions with an 11-29 record. Likely? Not at all, but it is at least theoretically possible; and any system that contains even the possibility of an 11-29 team being the National Champion is badly broken and needs to be fixed.