Three footballers, three national teams, and a survey that looks straightforward. But there is a small logical trap...
World Cup Stars
Riddle statement
In a football survey, three players appear —Kylian Mbappé, Lamine Yamal, and Lionel Messi— along with three national teams: Spain, Argentina, and France.
Exactly 100 people take part. Each person must match each player with one national team, using each team exactly once.
When the answers are checked, it turns out that 30 people got all three matches right, and another 30 people got none of them right.
How many people got exactly one match right? And how many got exactly two?
Show solution
Solution
No one can get exactly two assignments right.
If a person matches two footballers correctly, the one remaining flag must necessarily go with the third footballer.
Therefore, getting two right implies getting all three right.
So:
30 people got all three right; 30 people got none right.
That accounts for 60 people.
There are:
people left.
Those 40 cannot have got two right, and they also did not get zero or three right. Therefore, they got exactly one right.
Answer: 40 people got exactly one assignment right, and 0 people got exactly two.