Phil writes:
  At the CCHA play-off's at the Joe (Joe Louis), they serve beer all the time.
  I can't imagine that the NC$$ could stop that at the bigger pro arena's when
  a college team plays there?
 
However, when the NCAA championship was at the Joe a few years ago, there was
no alcohol served.  As someone has already posted, it is indeed the case that
no alcohol is served at NCAA-sponsored games.