The Orange won even though they had just four assists on 21 field goals.
Syracuse led by 18 points late in the first half before Watford hit a 3-pointer to make it 31-20 with 1:31 left.
After a basket and free throw by Fair made it 34-20, a basket by Indiana's Will Sheehey trimmed the Syracuse lead to 34-22 at the break.
Carter-Williams had 12 first-half points to lead all scorers, and his team made 14 of 30 shots from the field (46.7 percent). Triche added eight points in the first half.
Indiana was limited to 19 first-half shots from the field and made only seven while committing 12 turnovers against the tough Syracuse zone defense.
The Orange had just six turnovers in the first half and put intense pressure on the Hoosiers with seven steals and five blocks.
Oladipo scored seven first-half points.
NOTES: Oladipo, a junior averaging 13.6 points, played in high school at DeMatha Catholic in Hyattsville, Md., just a few miles north of the Verizon Center. "I won a couple of city championships with DeMatha, won a couple of AAU championship games here, and there hasn't been a lot of hoopla," Oladipo told reporters Wednesday of playing at the Verizon Center. "My family has been fortunate to come out and watch me play because they live so close." ... Indiana reserve junior guard Maurice Creek is from Oxon Hill, Md. ... Syracuse freshman reserve Jerami Grant, son of former Washington Bullets player Harvey Grant, also played in high school at DeMatha Catholic.