22 Feb '13 16:56

Two questions.

(a) What is the most points a team can get and still not qualify for the knockout stage?

(b) What is the least points a team can get and still qualify?

For those not into European football:

In the group stage there are four teams in each group. Every team plays every other, once only. 3 points for a win. 1 point for a draw. 0 points for a loss. The top two teams go through to the knockout stage. If two teams are on equal points there is a formula (irrelevant to this problem) to decide who is placed the higher.

(a) What is the most points a team can get and still not qualify for the knockout stage?

(b) What is the least points a team can get and still qualify?

For those not into European football:

In the group stage there are four teams in each group. Every team plays every other, once only. 3 points for a win. 1 point for a draw. 0 points for a loss. The top two teams go through to the knockout stage. If two teams are on equal points there is a formula (irrelevant to this problem) to decide who is placed the higher.