It was the 165th meeting between the upstate New York foes, and the Orange (4-0) won their 46th straight against Colgate (3-4).
Carter-Williams, who had six rebounds and just one turnover, missed the only shot he attempted in the first half. But he assisted on nine of the Orange's first 10 baskets, giving him a real shot at challenging the school record for assists in a game.
Sherman Douglas had 22 against Providence in January 1989. Pearl Washington had 18 against St. John's during the 1983-84 season, and Douglas was among five players to notch 14 in a game.
Brandon Triche finished with 15 points, freshman Dajuan Coleman had a career-high 12 points, and Rakeem Christmas had 10 points and nine rebounds for the Orange.
Murphy Burnatowski, Pat Moore and John Brandenburg each had eight points to lead Colgate. Moore entered the game on a roll, making 14 of 17 3-pointers in his previous two outings. But he was 2 of 8 from behind the arc and 3 of 12 overall before fouling out with 6:02 left.
Colgate came in averaging nearly 10 3-pointers on 46.5 percent shooting. The Raiders made 9 of 28 (32.1 percent) against the Orange.