8. (4 points) At a knight's tournament, each knight gave each of his acquainted ladies as many flowers as she had acquainted knights, except for him. After this, every two knights arranged as many duels as they had common acquainted ladies. What was more: the given flowers or the arranged duels, and by how many times?

Answer: Flowers were more by two times.
Solution: For each trio consisting of a lady and two of her acquainted knights, one duel will take place. Regarding the flowers, the first knight will give the lady one flower for introducing him to the second, and the second will give one for being introduced to the first, making a total of two flowers.

## Grade 9  2nd variant