FA Cup: West Ham humiliated by Notts Forest, while Chelsea, Liverpool cruise Championship side Nottingham Forrest have thrashed Premier League strugglers West Ham 5-0 in their FA Cup Third Round tie. Sam Allardyce looks dejected as West Ham crash out of the Cup. CHELSEA and Liverpool each avoided potential FA Cup third-round banana skins with victories over lower-league opponents, but West Ham United was thrashed 5-0 by Nottingham Forest. Chelsea beat in-form Championship side Derby County 2-0, with Liverpool avenging its shock defeat by third-tier Oldham Athletic in last season's competition with a 2-0 success at Anfield. Derby has won 10 of its 15 league games since former England manager Steve McClaren took over, but it fell to second-half goals from John Mikel Obi and Oscar as Chelsea set up a fourth-round tie with Stoke City. Oscar and Willian enjoy an easy night for Chelsea. The visitors made their breakthrough in the 66th minute when substitute Eden Hazard's trickery wide on the left yielded a free-kick and from Willian's wicked, inswinging cross, Mikel glanced home a header to mark his 300th Chelsea appearance with his fourth goal for the club. Oscar got on the scoresheet shortly afterwards, gathering a pass from Hazard and beating Lee Grant at his near post with a powerful shot. Former Socceroos goalkeeper Mark Schwarzer was also given a chance to play, keeping his fourth clean sheet in fivce starts for the Blues, strengthen his status as an excellent back-up option to first-choice Blues gloveman Petr Cech. Liverpool will visit either Bournemouth or Burton Albion in round four after seeing off Oldham, who stunned Brendan Rodgers's side 3-2 at Boundary Park in the fourth round last season. Iago Aspas, a close-season signing from Celta Vigo, broke the deadlock in the 54th minute by dispatching a cross from Raheem Sterling to claim his first goal for the club. The Spaniard then hit the post, but Liverpool did not secure victory until Oldham's James Tarkowski put through his own goal with eight minutes to play. Anton Rodgers of Oldham shakes hands with his father Liverpool manager Brendan. Another Australian goalkeeper also took his chance, with Brad Jones making a rare start for the Reds, his first since a Premier League loss to Southampton in March last year, but Jones looked sharp, particularly in making one great second-half save to preserve Liverpool's lead. There was no place in the Liverpool side for Australian teenager Brad Smith but Oldham fielded their own Aussie in midfielder James Wesolowski. West Ham became the second Premier League team to be eliminated by lower-league opposition in this season's competition when it was crushed 5-0 by Championship side Forest at the City Ground. A day after Aston Villa fell to third-tier Sheffield United, West Ham was undone by a 14-minute hat-trick from Forest forward Jamie Paterson, sandwiched by an early Djamel Abdoun penalty and a late Andy Reid strike. West Ham manager Sam Allardyce made nine changes to his starting XI and gave debuts to three young players, but he told ITV: "What choice did I have? I don't think I had one. I make the decisions for the benefit of everyone at the football club. We have a huge amount of problems in terms of available players. Sunderland overcame third-tier Carlisle United 2-1 at the Stadium of Light to take their place in round four. The draw for the next round was also held over night, with the big guns dodging each other for fourth round. Chelsea was been handed a home game with Stoke City in the only all-Premier League tie pulled out of the hat in the FA Cup fourth-round draw. Arsenal will play third-tier Coventry, Liverpool will face either second-tier Bournemouth or fourth-tier Burton Albion, while Swansea City's reward for sensationally eliminating Manchester United will be a trip to either Birmingham City, Bristol Rovers or Crawley Town. Draw for the fourth round of the FA Cup (to be played on January 25-26): Sunderland v Kidderminster Harriers or Peterborough United Bolton Wanderers v Cardiff City Southampton v Yeovil Town Huddersfield Town v Charlton Athletic or Oxford United Port Vale or Plymouth Argyle v Brighton and Hove Albion Nottingham Forest v Ipswich Town or Preston North End Southend United v Hull City Rochdale v Macclesfield Town or Sheffield Wednesday Arsenal v Coventry City Stevenage v Everton Wigan Athletic or Milton Keynes Dons v Crystal Palace Chelsea v Stoke City Blackburn Rovers or Manchester City v Bristol City or Watford Bournemouth or Burton Albion v Liverpool Birmingham City or Bristol Rovers or Crawley Town v Swansea City Sheffield United v Norwich City or Fulham