Yes they can. In fact Ajax Amsterdam did it this year (2010/2011 Season). They where elimanted in the group stage of the Champions League and made the last 32 of the Europa League (as of today, they can still go further).
They didn't qualify for the UEFA Champions League but they did qualify for the Europa League.
The cup will called the UEFA Super Cup. It will be played between the winners od the Champions League and Europa League.
NO, the Uefa champions league is from league position places in each country not for cup winners. FA Cup winners go into the Europa League
No they will play in the U.E.F.A or Europa League.
This is not possible as the winners of the Champions League and Europa League get direct entry to the next UEFA Champions League. Hence this case can't happen in the Champions League.
The team that won the UEFA Champions League title in 2012 was Chelsea FC.
Singapore
0 times. They have always been in the champions league. But before they were called the Europa league and the campions league Chelsea had won the Europa league equivalent twice.
62 cm is the size of the UEFA Champions League Trophy
Burnley were the Football League Champions in 1960.
Stoke City have never played in the Champions League. Although they have appeared in the UEFA Cup twice and the UEFA Europa League once.
No neither do winners or runner ups in the carling cup , can reach the europen championships.