The team that went undefeated in the regular season and racked up more victories than anyone but Duke and Arizona — and fewer losses than any team at all — is anything but your run-of-the-mill basketball behemoth.

In fact, Miami (Ohio), despite that 31-1 record and maybe because of a little chip that’s been placed on its shoulder, is one of those plucky underdogs that makes the NCAA tournament what it is.

Welcome to March Madness with a twist.

While Duke (32-2) took the overall top seed on Selection Sunday, with Arizona (32-2), Michigan (31-3) and defending champion Florida (26-7) also on the top line, the RedHawks barely scratched their way into the bracket.

They are an 11-seed and have to play a First Four game against SMU on Wednesday. But after all the debate and hand-wringing that came with their single loss last week, which immediately turned them from sure thing into bubble team, they now enjoy the same privilege as the other 67 teams in the field.

They will have a chance to win and advance, with no selection committee, bracketologists or former coaches-turned-TV experts deciding their fate.

“I was very confident,” Miami forward Eian Elmer said. “I think it’s hard to leave a team that’s 31-0 in a regular season out. It just wouldn’t look right for the sport, diminishing something like that, something that’s very rarely done.”

After the First Four, the full slate of games begins Thursday and Friday, with the national champion set to be crowned in Indianapolis on April 6.

The chair of the selection committee, Keith Gill, tried to explain how Miami of the lightly regarded Mid-American Conference ended up where it did. The RedHawks, he said, were not the last of the 37 at-large teams slotted into the field.

But, he said, they were ranked last of those 37 teams because once they got in as they were compared against other teams close to them and things such as their 339th-ranked strength of schedule and zero wins (in fact, zero games) against top-caliber, or Quadrant 1, opponents worked against them.

Other factors worked for them, including having the nation’s second-ranked scoring offense, along with a “strength of record” in the top 30 and “wins above bubble” in the top 40 (each of those statistics would take a small pamphlet to explain).

“They have some really strong resume metrics that show their accomplishments,” Gill said.

For what it’s worth, Miami is an 8½-point underdog against SMU and a 1,500-1 longshot to win it all, according to DraftKings Sportsbook.

Unlikely, indeed, but still better odds than the much-cited 9.2 quintillion-1 odds a person has of filling out a perfect bracket.

The favorite to win the national championship, according to DraftKings, is Duke, which was listed at +300 odds as of Sunday night, just a tad ahead of Michigan at +360.

The Wolverines took a mini-hit in the seedings, dropping a notch to overall No. 3 after an eight-point loss to Purdue in the Big Ten title game. The Boilermakers are a 2-seed instead of a 3 with the win, heading to St. Louis to play tournament first-timer Queens.

The conference title did not do as much for St. John’s, which stayed where it’s been predicted most of the season — as a No. 5 — even after a 20-point win over UConn for the Big East title.

“Their results in the nonconference did not have kind of the same depth and quality of some of the folks that are ahead of them,” Gill said of the Red Storm’s less-than-stellar nonconference showing this season.

Last year, St. John’s became the sixth team coach Rick Pitino had led to the tournament. This year, the Johnnies go again but they must travel to San Diego to face Northern Iowa in the first round.

“I said, ‘Don’t take it as a negative,'” Pitino said. “I’ve had teams go to a Final Four that first had to go to Portland and then Arizona from Louisville.”

Among those left out of the field of 68 were San Diego State, Indiana, Oklahoma and Auburn.

The Tigers had 16 losses but the nation’s third-best strength of schedule. The snub drew predictable blowback from Bruce Pearl, their former coach and father of their current coach, who was working for CBS and said, “They played the toughest schedule in the country and I don’t know if they were rewarded for it.”

Even with Oklahoma and Auburn left out, the SEC led the way by placing 10 teams in the field, four short of its record from last year.

The Big Ten followed with nine, the ACC and Big 12 with eight apiece — an unsurprising result in an era of massive conference expansion and NIL compensation drawing top players to the biggest spenders.

The Gators are the defending champion, trying to repeat their back-to-back titles from 2006-07. Last season, Florida was part of an all-No. 1 Final Four — the first time that had happened in 17 seasons.

A championship final rematch between the Gators and 2-seeded Houston could be looming in the South; the Cougars would host the regional final in their hometown should they make it.

“If we have to run into that issue, there’s worse problems in the world,” Gators coach Todd Golden said earlier this week. “[But] I would enjoy somebody else in Houston [rather] than Houston.”

Giving teams home games in regionals is something the NCAA tries to avoid. Gill said that it wasn’t possible in this case, and pointed out that last year, Houston was a No. 1 seed that beat Purdue in Indianapolis, which is located an hour away from the Boilermakers’ campus.

“What I would say is, it’s the NCAA tournament,” Gill said. “You’re going to have to win games away from home against really tough opponents, and that’s why this is the best postseason in sports.”

The Associated Press contributed to this report.