FA Cup:

The competition is open to any club down to Level 10 of the English football league system which meets the eligibility criteria. All clubs in the top four levels (the Premier League and the three divisions of the Football League) are automatically eligible. Clubs in the next six levels (non-league football) are also eligible provided they have played in either the FA Cup, FA Trophy or FA Vase competitions in the previous season. Newly formed clubs, such as F.C. United of Manchester in 2005–06 and also 2006–07, may not therefore play in the FA Cup in their first season. All clubs entering the competition must also have a suitable stadium.

Please answer a question about this article. If the question is unanswerable, say "unanswerable". Which competitions do not make a team eligible if the team has played in them in the previous season?
unanswerable