Howard has no women's hoops league. Officials cite lack of interest. A few women, such as freshman Kelley Chatman of Los Angeles, played on teams with men. However, most schools have special rules in co-rec play to ensure that men don't hog the action. For inner tube water polo at Cornell, it's three males, three females and a goalie of either sex.
Female goals count for two.
Prior to the mid-1970s, intramurals were pretty much for men. Then you had Title IX, and you had many more women. Males outnumber females by about 3-1 in Cornell IMs. Other schools report similar trends. In varsity sports, athletes brought together on teams become friends.