Problem 30: A Tournament of 10-is

Serena, Aryna, Emma, Iga, Naomi and Coco and are competing in a tennis tournament. Each player plays one match against each other player. A player receives 3 points for a win and 0 points for a loss.

  • No player ended up with 0 points.
  • One player won all their matches.
  • Iga beat Aryna.
  • Serena lost to Naomi, but they both ended up with the same (odd) number of points.
  • Between them, Aryna and Coco earned 21 points.
  • Emma only won 1 match, which was against the only other person who won 1 match.

How many points did each player end up with?

Apply Now

Applications for September 2027 entry are now open.

Apply Now