Seating Arrangement in A Round Table Conference


What was the arrangement challenge?

Given Data : 

8 people have to be seated at a round banquet table. The seats are number 1-8.

1. A and H are the only French speaking people on the table. They need to be seated together. 

2. B and F should sit opposite each other. 


3. C, F, and G all know Russian, but don't necessarily need to sit next to each other. In fact, G wants to sit next to someone who knows French. 


4. D is English and insists on sitting next to at least one other English speaking person, and pat opposite the good looking H. 


5. E is the only other English speaker in the group, but he wants to sit next to someone who knows Russian. 

6. G agrees to sit next to F only on condition that the other side must have a French speaker. C does not sit next to either of them. 


7. C however, agrees to sit next to B, who is the only Bavarian in the group.
A will not sit next to a Russian or an English speaker.


Arranging STEPS :

1] From (1) & (3), it's clear that G should be seating next to the A or H. That is G, A and H are occupying adjacent seats whose order is yet to be known. 

Seating Arrangement in A Round Table Conference

2] Now as per (2), B and F must be on opposite seats, they need to 'surround' the group of G - A - H. That's the only way they would be opposite. (There are 2 ways that they can do this and this would result into 2 possible solutions as concluded in conclusion).

Seating Arrangement in A Round Table Conference

3]  As per (6), G is ready to sit next to F so that G and F should be occupying adjacent seats. Order of seat to be occupied by A and H are yet to be known.

Seating Arrangement in A Round Table Conference

4] As per (7), C can seat next to B. A can't seat next to Russian G. 

Seating Arrangement in A Round Table Conference

5] As per (4) and (5), D & E should be next to each other but as per (4) D has to be opposite to H. 

Seating Arrangement in A Round Table Conference

CONCLUSION : 

In order to make seat arrangement in accordance with everyone's preference, we just need to ask them to seat in alphabetical order of their names. Here, seat number doesn't matter and what matters is that everyone is getting their favorite seat.

Interestingly, they can seat in circle clockwise or anticlockwise according to alphabetical order of their names.

Seating Arrangement in A Round Table Conference
 

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