Soccer Score
In the soccer games, Team-A scored three goals and gave up one goal. The team is awarded, three points for a win, one point for a draw, and zero points for a loss.
Which one is an impossible point/score for Team-A after 3 games?
Note:
Win means more goals scored than the opposition.
Draw means equal amount of goals scored for each team.
Loss means less goals scored than the opposition.
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1 solution
The only ways to have three points after three games are to either have three draws, or one win and two losses. Neither of those two scenarios happened here; three draws would imply the team would have scored the same number of goals as it gave up, and one cannot have two losses with only one goal scored against.
For completeness, here are possible Win-Draw-Loss records and game scores for the other point totals:
4 p o i n t s : 5 p o i n t s : 6 p o i n t s : 7 p o i n t s : 1 − 1 − 1 1 − 2 − 0 2 − 0 − 1 2 − 1 − 0 ( 3 : 0 ) ; ( 0 : 0 ) ; ( 0 : 1 ) ( 2 : 0 ) ; ( 1 : 1 ) ; ( 0 : 0 ) ( 2 : 0 ) ; ( 1 : 0 ) ; ( 0 : 1 ) ( 1 : 0 ) ; ( 1 : 0 ) ; ( 1 : 1 )