While Eden Hazard scored two goals and was voted Man of the Match, Williams and Victor Moses scored one goal each.
Nigeria international, Victor Moses, scored his first goal in the Premier League in almost 14 months as Chelsea returned to winning ways in style on Saturday.
The Blues blew their host Brighton apart, beating them 4-0 in Saturday’s early kickoff in the Premier League.
Chelsea were two up inside six minutes through Hazard and Willian, and made the result emphatic in the final stages as Hazard added a second and Moses put the icing in the 89th minute.
The result was a little harsh on Brighton, who responded well to their nightmare start but failed to score for the ninth time in their last 12 league matches.
Brighton could not cope with Hazard throughout the match and paid for giving the Belgian too much space in the box for the opening goal on three minutes.
A first win in six in all competitions lifts Chelsea to third in the table, while Brighton remain 16th
The good times seem to be back for Nigerian stars in England as Alex Iwobi joined the goal scoring list on Saturday; scoring one of the goals in the 4-1 demolition of Crystal Palace.
Nacho Monreal got the opening goal for the Gunners barely six minutes into the game before Iwobi ended his long goals’ drought to double Arsenal’s lead in the 10th minute.
Arsenal were far from done as the duo of Laurent Koscielny in the 13th minute and Laurent Koscielny in the 22nd minute helped the host race to a 4-0 lead in the first half.
Arsenal afterward took their feet off the pedal and allowed Crystal Palace reduce the deficit in the 77th minute through Luka Milivojevic.
With the three points from Saturday’s London derby, Arsenal have taken their points haul to 42 points from 24 games but the Gunners are still five points adrift of the last Champions League spot despite playing a game more than their rivals.