Josh Jackson, from Napa, California, competes in the slam dunk contest during the McDonald's All-American Jam Fest, Monday, March 28, 2016, in Chicago. (AP Photo/Matt Marton)

It pays to be greedy when assembling a college basketball roster, so even though Kansas University coach Bill Self already has the best collection of Big 12 perimeter players and the best post players, there is no such thing as an embarrassment of riches in sports. The more talent, the better.

So why stop now?

Self has a better than even chance of winning at least a share of his 13th consecutive Big 12 title with the roster he has now and it’s easy to see an eight-man rotation emerging if he doesn’t add to it. Devonté Graham, Frank Mason III and freshman Josh Jackson will start on the perimeter and Sviatoslav Mykhailiuk can substitute for all three of them, playing 25 or so minutes per game. Lagerald Vick, depending on how much he refines his game during the offseason, also could earn time.

In the paint, Landen Lucas, Carlton Bragg, freshman Udoka Azubuike and transfer Dwight Coleby bring a variety of strengths and could fill the 80 post minutes, even if freshman Mitch Lightfoot could benefit from a red-shirt year.

That’s a nice eight-man rotation balanced with enough inside and outside scoring, solid defense in the paint and on the perimeter, and a nice blend of veterans.

Still, it’s best to go into a season with too many rotation candidates than just the right amount, in case a freshman needs more polish than anticipated or a veteran suffers an injury. Plus, it’s nice to have a role player who fits certain situations in some games and doesn’t get off the bench for others.

If Cheick Diallo, as anticipated, stays in the NBA draft, Self will have three scholarships available. Landing a major-minutes marquee high school talent such as Jarrett Allen, a 6-foot-9 forward from Austin who is considering KU, Texas and Houston, would shake up the rotation. Failing that home run, Kansas still could use help up front, someone to challenge Coleby for minutes. Another small guard, perhaps someone with a game similar to that of Nic Moore, the former SMU guard who helped Team USA to a gold medal in the World University Games last summer and then used his final season of eligibility. Sure, Kansas was the third-best team in the nation with no point guard beyond Graham and Mason, but it wouldn’t hurt to have more quick depth. Adding a killer shooter also never hurts.

With three open scholarships and a seemingly reliable rotation that goes eight deep already, Kansas also has the luxury of using a scholarship or two on a transfer who must sit a year.