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Puzzle ZBIL 



??

During the recent BrainBashers Football Competition, 5 teams were competing.

Each team played each other just once, with 2 points for a win, 1 point for a draw, and 0 points for a loss.

However, the rain damaged the final scoresheet, and this is all that could be read of the final points after all of the matches:
Longton     6
Fenton      5
Blurton     4
Hulton      2
Fulton      {?}

Can you work out how many points Fulton ended the season with?

Puzzle Copyright © Kevin Stone

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Answer
3.

Reasoning
There were 5 teams in the league, and every team played every other, so there were a total of 10 games played:
   Longton  vs  Fenton
   Longton  vs  Blurton
   Longton  vs  Hulton
   Longton  vs  Fulton
   Fenton   vs  Blurton
   Fenton   vs  Hulton
   Fenton   vs  Fulton
   Blurton  vs  Hulton
   Blurton  vs  Fulton
   Hulton   vs  Fulton

We know that 2 points were allocated for each game played. Which means that there were a total of 20 points over the 10 games.

Since the given results add to 17, the remaining 3 points belong to Fulton.

 

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