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 The soccer results (Posted on 2005-06-10)
After the close of a soccer season, with four teams (named A, B, C and D), the final table was:
```TEAM   Won   Drawn Lost     Goals Goals     Points
For   Against
A      3     0     0        7     1         9
B      1     1     1        2     3         4
C      1     1     1        3     3         4
D      0     0     3        1     6         0```
Knowing that the four teams played against each other one time, and that team A beat team B 3x0, can you deduce the results of the other five games?

 Submitted by pcbouhid Rating: 3.0000 (5 votes) Solution: (Hide) We see at once from the table that team B beat team D and drew with team C.As B scored 2 goals to 0 in these games, they must have won 2 x 0 and drawn 0 x 0.This disposes of B, and leaves three games, C x D, A x D, and A x C to be determined.Now, A had only 1 goal scored against them (C or D).D scored only 1 goal, and that must have been against A or C.Assume that it was against A. In that case, C did not score against A. But C scored 3 goals altogether; therefore these must have been scored against D. We find D had 6 goals against them : 2 scored by B, as shown, 3 by C (if we assume that D scored versus A), and the remaining goal was scored by A. But, as we have just assumed, D scored 1 goal against A, the match would have been drawn.It was won by A, and therefore D could not have scored against A.Thus, the goal against A must have been scored by C.And as C scored 3 goals, the other 2 must have been versus D, who must have scored their only goal against C.Thus, A beat C by 2 x 1 and D by 2 x 0, while C won D by 2 x 1.

 Subject Author Date Puzzle Thoughts K Sengupta 2023-06-12 09:58:57 Another solution? ignatious 2005-10-02 06:29:21 Working ALison 2005-07-15 20:07:16 No Subject scott 2005-07-05 13:17:10 Final Scores Rupesh Khandelwal 2005-06-14 13:13:18 re: the solution! pcbouhid 2005-06-13 12:41:19 re: Yawn pcbouhid 2005-06-13 12:39:36 the solution! daniel 2005-06-13 11:45:44 Yawn Charley 2005-06-12 17:11:47 correcting my previous comment pcbouhid 2005-06-11 23:31:41 re: Solution - Carl pcbouhid 2005-06-11 23:30:42 Solution Carl 2005-06-10 23:41:04 re(2): Goals vrs. Points Penny 2005-06-10 17:36:17 re: Score pcbouhid 2005-06-10 16:19:49 Score john 2005-06-10 15:42:33 Solution Penny 2005-06-10 15:02:44 My Solution Jeff Little 2005-06-10 13:37:41 re: Goals vrs. Points Hugo 2005-06-10 13:21:49 Goals vrs. Points Penny 2005-06-10 13:16:33 Spoiler Juggler 2005-06-10 12:56:19

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