The NCAA closely regulates the number of scholarships that a Division I school can offer. Division I women’s basketball programs are limited to 13 full tuition scholarships, while the men’s programs are capped at 15 full ride scholarships.That means only 13 women and 15 men will receive Division I basketball scholarships in any given year.here are 290 men’s programs, and 291 women’s programs, in Division II basketball. Each member college and university in Division II is restricted to 10 full ride scholarships for their men’s program, and 10 full ride scholarships for their women’s program.