2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 6
Problem
A round robin chess tournament took place between 
players. In such a tournament, each player plays each of the other players exactly once. A win results in a score of 
for the player, a loss results in a score of 
for the player and a tie results in a score of 
. If at least 
percent of the games result in a tie, show that at least two of the players have the same score at the end of the tournament.
Solution
See also
| 2018 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNM-PNM Problems and Solutions | ||
