Permutations for Premier League clubs in Europe

The last group stage match of this season's Champions League and Europa League has arrived. Some English teams have already qualified but others still need to get a result. Below is what every team has to do qualify.

Liverpool
If Liverpool win, they will qualify in 1st place
If Liverpool draw, they will qualify in 1st place unless Napoli beat Genk
If Liverpool lose, they will qualify for the Europa League unless Napoli lose against Genk

Chelsea
If Chelsea win, they will qualify in 1st place unless Ajax win against Valencia
If Chelsea draw, they will qualify for the Europa League
If Chelsea lose, they will qualify for the Europa League

Manchester City
Manchester City qualify in 1st place regardless of the results

Tottenham Hotspur
Tottenham Hotspur qualify in 2nd place regardless of the results

Arsenal
If Arsenal win, they will qualify in 1st place
If Arsenal draw, they will qualify in 1st place unless Eintracht Frankfurt win against Vitoria
If Arsenal lose by three or less goals, they will qualify in 1st place unless Eintracht Frankfurt win against Vitoria
If Arsenal lose by four or more goals, they will not qualify

Wolverhampton Wanderers
Wolverhampton Wanderers qualify regardless of the results
If Wolverhampton Wanderers win, they will qualify in 1st place unless Braga win against Slovan Bratislava
If Wolverhampton Wanderers draw, they will qualify in 2nd place

Manchester United
Manchester United qualify regardless of the results
If Manchester United win, they will qualify in 1st place
If Manchester United draw, they will qualify in 1st place
If Manchester United lose, they will qualify in 2nd place