MathDB
TOT 1998 Spring OJ1 points for forming words from given letter set

Source:

May 11, 2020
Wordscombinatorics

Problem Statement

Anya, Borya, and Vasya listed words that could be formed from a given set of letters. They each listed a different number of words : Anya listed the most, Vasya the least . They were awarded points as follows. Each word listed by only one of them scored 22 points for this child. Each word listed by two of them scored 11 point for each of these two children. Words listed by all three of them scored 00 points. Is it possible that Vasya got the highest score, and Anya the lowest?
(A Shapovalov)