### Problem # 7 - Chess Tournament Logic Problem!

I found the following fun problem posted by Michael Stridsberg at the Vermont Chess Information Website. It is reproduced here with permission:

For the solution, click here.

Five people named Ann, Bill, Chris, Dan and Ed meet regularly at a local chess club. They decided to hold a small tournament among themselves to determine which of them was the best player.

There were ten games, each person playing each other just once. Standard tournament scoring was used: One point to the winner of each game, no points to the loser, and half a point to each player in the case of a draw.

Can you figure out the result of each game, and what each person's final point total was, using the following clues?

1) Ed had the same result against Ann as he did against Chris.

2) Ann's only win came in her game against Bill.

3) Ed scored two points total.

4) Dan lost exactly two games.

5) Chris won her game against Bill.

6) At least four games were a draw.

7) The game between Dan and Bill was a draw.

8) Bill scored the same in his game against Ed, as Dan scored in his game against Ann.

So, who won the tournament, and what was each player's final score?

Five people named Ann, Bill, Chris, Dan and Ed meet regularly at a local chess club. They decided to hold a small tournament among themselves to determine which of them was the best player.

There were ten games, each person playing each other just once. Standard tournament scoring was used: One point to the winner of each game, no points to the loser, and half a point to each player in the case of a draw.

Can you figure out the result of each game, and what each person's final point total was, using the following clues?

1) Ed had the same result against Ann as he did against Chris.

2) Ann's only win came in her game against Bill.

3) Ed scored two points total.

4) Dan lost exactly two games.

5) Chris won her game against Bill.

6) At least four games were a draw.

7) The game between Dan and Bill was a draw.

8) Bill scored the same in his game against Ed, as Dan scored in his game against Ann.

So, who won the tournament, and what was each player's final score?

For the solution, click here.

Labels: puzzle

## 1 Comments:

The next week they meet i heared that:

1) Ed had the same result against Ann as he did against Chris.

In fact he now lost both games.

2) There was no rule 2, but the rest went just the same.

3) Ed scored two points total.

4) Dan lost exactly two games.

5) Chris won her game against Bill.

6) At least four games were a draw.

7) The game between Dan and Bill was a draw.

8) Bill scored the same in his game against Ed, as Dan scored in his game against Ann.

Now, can you figure out this table?

By pelle, at 7:06 AM

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