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Puzzle ZZPN 


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Developer's Bowling Matchall logic puzzles

At a recent bowling match, two games were played.

Kelly beat Sam in both games, and Reed beat Jamie in both games.
The winner in game 1 came second in game 2.
Reed won game 2, and Jamie beat Sam in game 1.
No player got the same placing twice.
Can you determine who finished where in each game?

Puzzle Copyright © Kevin Stone

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Answer
Name     #1  #2
Kelly     1   2
Reed      2   1
Jamie     3   4
Sam       4   3

Reasoning
In Game1, (Clue1) Reed beat Jamie, and (Clue3) Jamie beat Sam.

   Game1: Reed, Jamie, Sam

Since (Clue3) Reed won Game2 , and (Clue4) no player got the same placing twice, Reed can't have won Game1, therefore Kelly did.

   Game1: Kelly, Reed, Jamie, Sam

In Game2:
   Reed won (Clue3).
   Sam can't have come last again (Clue4).
   Since Kelly beat Sam (Clue1), Sam can only have come third.

   Game2: Reed, Kelly, Sam, Jamie