Which places In the prem go to Europe? ?

I know 1-4 go to champions league but what about europa league I'm sure 5-6 but dno about 7&8 Birmingham go to Europe cause they won the league cup, and man city go cause they won the Fa cup. Fulham also go due to the fair play league. As man city one the cup but already in Europe spot does that mean 7th place go through? I really don't know.