Calculators at the ready in race for a top five finish

THE Premier League is set for a thrilling end to the race for Champions League qualification.

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Nottingham Forest are in the mix for a top five finish, with Arsenal, Manchester City, Newcastle United, Chelsea and Aston Villa also battling for the four places behind champions Liverpool.

Here, the PA news agency looks at the key permutations.

How it stands

Beaten Champions League semi-finalists Arsenal, second in the league, have a six-point cushion over sixth-placed Forest. With the latter playing Chelsea on the final day, the Gunners need three points from games against Liverpool, Newcastle and relegated Southampton to make sure of a return to the competition.

Third-placed City lead Forest by three points and, with their goal difference better by 12, should be secure with two wins. Pep Guardiola’s side take on Southampton before games against Bournemouth and Fulham - two of the teams competing for eighth place, which would bring European qualification should City win the FA Cup final against Crystal Palace.