Several teams have not played in the Premier League. Notts County are the only team that agreed to the formation of the Premier League that have not played in it as they were relegated at the end of the 1991-92 season.
I guess by league one you mean the division called Coca-Cola Football League One, the third highest division, after the Premier League and Championship. Chelsea never won it. Chelsea have won the Premier League 3 times, in 1955, 2005 and 2006, and the Championship twice, in 1984 and 1989.
Queens Park Rangers have never won the Barclays Premier League, or the old First Division equivalent of it.
Manchester united have never been relegated from the premier league. in 1974 they were relegated from the old first division
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Liverpool has never won the Premier League since its inception. They last won the old First Division title in 1990.
never cause they never played
Southampton have never won the Premier League. Their highest position in the top division was second in Football League Division One season 1983-84.
Chelsea won the English Premier League in 2005, 2006 and 2010. They won the old first division in 1955, the equivalent of the Premier League now.
They won the league in 1936/37 season and 1967/68, at this time it was known as the first division. The Premier League began in the 1992/93 season and Manchester City have never won it.
3 they won the old first division in 1953-54. 1957-58, 1958-59
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