About football.

Then Barcelona must score 1 goal more than Arsenal (provided that Arsenal doesn't score), and then score two more goals than Arsenal (no matter how many goals Arsenal scores, they will be eliminated). At least as you said, Barcelona10 beat Arsenal, and then Barcelona successfully advanced. If both sides play 1: 1, Barcelona will be eliminated.

The following is the competition system of the Champions League knockout. Please refer to:

The top 16 players who advance to the knockout stage will draw lots to decide the competition, and each team will play two rounds of home and away games. In the knockout round, the one who scored more goals in two rounds advanced. If the total number of goals is the same, the side with more away goals will advance. If the number of away goals is the same, the first half and the second half will be overtime 15 minutes, and it will be played immediately after the second round. If the number of goals scored by both sides in overtime is still the same, then the number of goals scored by the visiting team in overtime will double, that is, the visiting team will advance. If neither side scores in overtime, it will be decided by penalty kick. The two teams that emerged from the knockout stage entered the finals held in May.