While some non-Power programs have a realistic shot of upsetting a big-time school (think Boise State and UCF), others don’t have a fighting chance.

It’s a statistical fact that makes big-school vs. small-school match-ups a win-win only in the sense that the big dog gets awarded an almost automatic victory, while the little dog gets to cash a huge paycheck.

It is the nature of big-time college football.

The following list highlights 11 little (or littler) guys that won’t just roll into town to get slaughtered in front of a hungry crowd once this season, they’ll do it at least twice.

Appalachian State

2016 Non-Conference Schedule: at Tennessee , Old Dominion, Miami (Fla.) , at Akron

Most Recent Win over a Power Opponent: Sept. 1, 2007 at Michigan (34-32)

App State draws both an SEC and ACC foe in 2016, the first time it’s played two Power foes since it moved up into the FBS in 2014.

The Mountaineers are 1-13 all-time vs. the current SEC, the only win coming via a 39-34 triumph at South Carolina in 1975. They are 7-30-1 vs. the current ACC, all seven wins over Wake Forest, the most recent a 20-16 victory in 2000.

East Carolina

2016 Non-Conference Schedule: Western Carolina, NC State , at South Carolina , at Virginia Tech

Most Recent Win over a Power Opponent: Sept. 26, 2015 vs. Virginia Tech (35-28)

One of only three schools on our list to have three Power opponents in 2016, East Carolina is set to face two ACC members and a SEC team.

Though the Pirates have scored back-to-back wins vs. Virginia Tech, it lost 10 of the previous 11 meetings with the Hokies and is 43-81-1 (33.9%) all-time vs. the current ACC. They are 6-27 (18.1%) vs. the current SEC, five of those wins coming against South Carolina from 1991-99.

ECU hasn’t beaten a SEC team since Sept. 18, 1999 when it sunk the Gamecocks 21-3 in Columbia.

Florida Atlantic

2016 Non-Conference Schedule: Southern Illinois, at Miami (Fla.) , at Kansas State , Ball State

Most Recent Win over a Power Opponent: Sept. 15, 2007 vs. Minnesota (42-39)

FAU’s win over Minnesota in 2007 also marks the only time in program-history it has ever beaten a Power program. The Owls are 0-4 all-time vs. the current ACC, 0-7 vs. the Big 12, 1-7 vs. the Big Ten, and 0-11 vs. the SEC. They have never played a Pac-12 school.

Keep in mind that FAU didn’t field a football team until 2001.

Georgia Southern

2016 Non-Conference Schedule: Savannah State, at Western Michigan, at Georgia Tech , at Ole Miss

Most Recent Win over a Power Opponent: Nov. 23, 2013 at Florida (26-20)

Another relative newcomer, Georgia Southern didn’t move up to the FBS ranks until 2014 when it joined the Sun Belt. Like FAU, the Eagles’ last win over a Power team (the 2013 upset at Florida) was also their only-ever victory over a Power opponent.

All-time, Georgia Southern is 0-10 vs. the current ACC, 0-1 vs. the Big 12, 0-1 vs. the Pac-12 and 1-10 vs. the SEC. It has never squared off with a Big Ten program.

Hawaii

2016 Non-Conference Schedule: Cal (at Sydney, Australia), at Michigan , UT Martin, at Arizona , UMass

Most Recent Win over a Power Opponent: Sept. 3, 2011 vs. Colorado (34-17)

The second of the three teams with a trio of Power opponents in 2016, Hawaii is a combined 1-5 all-time vs. Cal, Michigan, and Arizona. The only win came in 1994, a 21-7 triumph over the Golden Bears in Berkeley.

The Warriors are 30-58 (34%) all-time vs. the current Pac-12 and 9-23 vs. the Big Ten (28%).

Kent State

2016 Non-Conference Schedule: at Penn State , North Carolina AT&T, Monmouth, at Alabama

Most Recent Win over a Power Opponent: Aug. 30, 2007 at Iowa State (23-14)

Kent State is 1-16 all-time vs. the current Big Ten. The only win came in 2012 at Rutgers, but the Scarlet Knights were still Big East members at the time. That means it has never beaten a Big Ten school that was a conference member at the time the game was played.

The Golden Flashes are 0-12 all-time vs. the current SEC, the bulk of that a 0-7 mark vs. Kentucky.

ULM

2016 Non-Conference Schedule: Southern, at Oklahoma , at Auburn , at New Mexico

Most Recent Win over a Power Opponent: August 28, 2014 vs. Wake Forest (17-10)

ULM was equally as ambitious in 2015, playing at Georgia and at Alabama during the first three weeks of a season that ended with a 2-11 mark.

The Warhawks have never beaten a current Big 12 member (0-12) and are 4-45-1 vs. the current SEC. The most recent victory over an SEC squad came in 2012, a 34-31 shocker over No. 8 Arkansas in Little Rock.

Rice

2016 Non-Conference Schedule: at Army, Baylor , Prairie View A&M, at Stanford

Most Recent Win over a Power Opponent: Sept. 14, 2013 vs. Kansas (23-14)

Though it’s no surprise that Rice has its 81st all-time meeting scheduled with Baylor (an old Southwest Conference chum) it hasn’t faced Stanford since 1964.

The Owls are 112-203-8 (35.9%) vs. the current Big 12 and 12-11-2 (52%) vs. the Pac-12. They played UCLA as recently as 2005-06 & 2012 (all losses) and Utah in 1996-97 (1-1), but before that hadn’t squared off with a Pac-12 team since beating Cal in 1970.

SMU

2016 Non-Conference Schedule: at North Texas, at Baylor , Liberty, TCU

Most Recent Win over a Power Opponent: Jan. 7, 2012 vs. Pitt (28-6, BBVA Compass Bowl)

Doubling-up on what Rice has in 2016, SMU is set to play two old Southwest Conference foes. The Mustangs have dropped 12 straight to Baylor, last winning in 1986 and has won only twice in their last 16 tries vs. TCU.

SMU is 125-178-21 (41.8%) all-time against the current Big 12, but hasn’t beaten a member of the conference since 2000 when it beat Kansas 31-17 in Dallas.

South Alabama

2016 Non-Conference Schedule: at Mississippi State , Nicholls State, San Diego State, at LSU

Most Recent Win over a Power Opponent: Never.

Another start-up program, South Alabama didn’t begin competing in football until 2009. That explains why it has only played a grand total of seven all-time games vs. Power programs.

The Jaguars are 0-3 vs. the current ACC, 0-1 vs. the Big Ten and 0-4 vs. the SEC. They have never squared off with a Big 12 or Pac-12 member.

UConn

2016 Non-Conference Schedule: Maine, Virginia , Syracuse , at Boston College

Most Recent Win over a Power Opponent: Sept. 15, 2012 at Maryland (24-21)

The third of the three teams with a trio of Power opponents outside of league play, UConn is hardly a patsy. That said, the Huskies are 19-37-2 (34.5%) vs. the current ACC, the home of all three of its 2016 version of Murder’s Row.

UConn is 1-1 all-time vs. Virginia, splitting games in 2007 and 2008. The Huskies played Syracuse nine times from 2004-12 (both schools were Big East members at the time) and hold a 6-3 advantage. They are 0-4 vs. Boston College, the four losses occurring consecutively from 2000 to 2004 (only the 2004 game was played with both schools were Big East members).