CAYLEY 2016 Problem 7

A soccer team played three games. Each game ended in a win, loss, or tie. (If a game nishes with both teams having scored the same number of goals, the game ends in a tie.) In total, the team scored more goals than were scored against them. Which of the following combinations of outcomes is not possible for this team?

Answer Choices
A. 2 wins, 0 losses, 1 tie
B. 1 win, 2 losses, 0 ties
C. 0 wins, 1 loss, 2 ties
D. 1 win, 1 loss, 1 tie
E. 1 win, 0 losses, 2 ties