## Monday, April 03, 2006

### Dinner Party

Yesterday evening, Helen and her husband invited their neighbours (two couples) for a dinner at home. The six of them sat at a round table. Helen tells you the following:

* "Victor sat on the left of the woman who sat on the left of the man who sat on the left of Anna.
* Esther sat on the left of the man who sat on the left of the woman who sat on the left of the man who sat on the left of the woman who sat on the left of my husband.
* Jim sat on the left of the woman who sat on the left of Roger.
* I did not sit beside my husband."

The Question: What is the name of Helen's husband?

1. The first clue gives us the positions of two people. Victor and Anne. That leaves two female and two male seats open.

Since the table goes around F-M-F-M-F-M, this elimitanes Victor from being Helen's husband because if she sat In either of the two open seats, she would sit next to her husband from the 4th clue.

Going onto the 3rd clue, Jim and Roger get placed in the last two male seats going around.

Going back to the 2nd clue, we figre out taht Ester can only sit in the seat to the right of Victor to make the statement true. That leaves the last remaining seat to helen and the 2nd clue tells us that Roger is sitting across from Helen, his wife.

I think that does it... kinda.

2. Your logic makes sense to me.

Conclusion: Roger is Helen's husband.

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