Led by Harry Kane who scored two goals in the first half Tottenham Hotspur strengthened the fourth place as Man Utd lost the game to Stoke City while Crystal Palace draw with Bournemouth.
At White Hart Lane on Boxing Day, Kane scored his first in the 26th minute, second in the 42nd minute, while Carroll sealed the final Tottenham 3, Norwich City 0 score.
Team Lineups
Norwich (4-4-1-1); Rudd; Martin, Bennett, Bassong, Olsson; Redmond, Mulumbu, Tettey, Brady; Odjidja; Jerome.
Tottenham (4-2-3-1): Lloris; Walker, Alderweireld, Vertonghen, Davies; Dembele, Dier; Eriksen, Alli, Lamela; Kane.