Segregated Education, 21st Century Style

Number of Historically Black Colleges and Universities in America: 103
Number of Women's Colleges in America: 80
Number of Men's Colleges in America: 3

Two questions spring to mind: (1) Is the dearth of Men's Colleges due solely to a lack of demand? (2) Is it appropriate for the federal government to support single-race institutions in this day and age?