Shapovalov A.V.

Anya, Borya, and Vasya were forming words from given letters. Each of them formed a different number of words: Anya formed the most, and Vasya the least. Then the children summed up the points for their words. If a word is found in two players' lists, it scores 1 point; if it is found in only one player's list, it scores 2 points; words that are common to all three players are crossed out. Could it happen that Vasya scored the most points, and Anya the least?
Let's say, for example, a total of 15 words were formed, of which 2 are only with Boris, 4 - only with Vasya, 6 - with Anya and Boris, and 3 - with Anya and Vasya. In total, Anya formed 9 words and scored 9 points, Boris - 8 words and 10 points, and Vasya - 7 words and 11 points.

Answer

It could.