What event was held on 27 May 2013 that featured one team that also competed in the League Cup and FA Cup?
2013–14 Crystal Palace F.C. season The 2013–14 season is Crystal Palace's first season back in the Premier League after 8 years. They clinched their place in the top tier with a 1–0 victory over Watford in the 2012–13 Championship Play Off Final. Palace spent eight seasons in the Championship after being relegated from the Premier League in the 2004–05 season. Crystal Palace also competed in the League Cup and the FA Cup.
2013–14 Derby County F.C. season The 2013–14 season was the 108th season in the Football League and 115th season overall of association football played by Derby County F.C., an English football club based in Derby, Derbyshire. Their tenth-place finish in the 2012–13 season meant it was their sixth consecutive season in the second tier, and their 46th overall.