Vincent Kompany, who was dismissed in the 10th minute, has been red carded on three occasions in the Premier League for Man City.
Of those three encounters, the Citizens have a 100% winning record.
Meanwhile, Edin Dzeko's goal was his first since the end of January - a run that dated back 10 hours and two minutes.
Everton 2-1 Cardiff City
Cardiff have won just one of their 14 away matches this term, which was achieved back in September against Fulham.
As for Everton, Seamus Coleman has found the next six times - more than any other defender.
The victory means that the Toffees have still lost only one match at Goodison Park since Roberto Martinez took charge during the summer.
Fulham 1-0 Newcastle United
Hosting Fulham have won their last five meetings with the Magpies at Craven Cottage.
Ashkan Dejagah, who scored the only goal of the game, has now fired in two goals under the management of the recently appointed Felix Magath.
Newcastle have won seven and lost a further seven of their away encounters, drawing just one.
Southampton 4-2 Hull City
Johan Elmander's goal for Norwich was his first in the Premier League since 2011 when he was a Bolton Wanderers player.
Staying with the goals theme, Jay Rodriguez took his tally for the campaign to 12.
His strike partner, Rickie Lambert, scored just one minute and six seconds after he had been introduced as a second-half substitute.
Stoke City 3-1 West Ham United
The Hammers have lost four matches that they have taken the lead in, which is more than any of their counterparts.
As for Stoke, Andy Carroll's goal for West Ham was the 10th that the Potters have conceded from a header.
The win was Stoke's seventh of the campaign at home - the same number that they managed to achieve during the whole of last season.
Sunderland 0-0 Crystal Palace
Palace's poor form in front of goal away from Selhurst Park continued. They have now scored just six in 14 outings on the road.
As for Sunderland, they have converted only 13 of their chances at the Stadium of Light.
What's more, the Black Cats have won three of their 14 home fixtures this season.
Swansea City 1-2 West Bromwich Albion
At the eighth time of asking, Pepe Mel has finally secured a victory as manager of West Brom.
They were helped on their way by Stephane Sessegnon, who scored his first goal for the Baggies in nine hours and 49 minutes of football.
From a possible 15 points, Swansea have collected just five since Garry Monk took charge of the club.
Aston Villa 1-0 Chelsea
Chelsea received two red cards at Villa Park, meaning that there have been four sending-offs in the last two meetings between these clubs.
Staying with Villa Park, Chelsea head coach Jose Mourinho has failed to win on any of his five visits there.
It was also the 51-year-old's 150th match as a Premier League manager.
Manchester United 0-3 Liverpool
Penalties were the theme at Old Trafford as referee Mark Clattenburg awarded three to the visitors.
Liverpool have now been awarded 10 penalties this season and 126 since the Premier League was introduced back in 1992 - both figures no other club can match.
Inter Milan-bound Nemanja Vidic has been sent off six times in a United shirt, four of which have been received in matches against the Merseysiders.
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Tottenham Hotspur 0-1 Arsenal
Tomas Rosicky's goal, which was timed at one minute and 12 seconds, was the fastest that Arsenal have scored against their North London rivals in the Premier League era.
Tottenham, meanwhile, have failed to score in both league fixtures against Arsenal for the first time since 1990-91.
The Lilywhites have lost three of their last four Premier League matches.
