Andrew Smith added 12 points and Khyle Marshall scored 10 points and had six rebounds for the Bulldogs (5-2). The game was tied at 33 at halftime, but Butler used a 10-0 run early in the second half to take control.
Clarke made just 5 of 18 shots, but had five assists for the Bulldogs. Butler shot 41 percent from the field and Ball State made 44 percent of its shots.
Jesse Berry was the only Ball State in double figures with 12 points. Majok Majok had a game-high 10 rebounds for the Cardinals, who have dropped four in a row.