Vvokichov M.A.

A football match was played between a team of liars (who always lie) and a team of truth-lovers (who always tell the truth). The match was 10 on 10 players. After the match, each player was asked: "How many goals did you score?" Some of the participants answered "one," Misha said "two," some answered "three," and the rest said "five." Is Misha lying if the truth-lovers won with a score of $20: 17$?
Suppose Misha is a truth-teller. Then nine out of ten players on the team of truth-tellers scored an odd number of goals (one, three, or five), while Misha scored an even number. But then the team of truth-tellers would have scored an odd number of goals, which contradicts the condition. Therefore, our assumption is incorrect, and Misha is a liar.

## Answer

Lies.