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Polo Square

Stage: 2 Challenge Level: Challenge Level:1

Solutions gathered by Alan after RI lecture:

 

Polo total

Number of distinct responses

9

2

10

6

11

10

12

13

13

10

14

5

15

12

16

8

17

3

18

3



In fact, Cecilia, Anna and David have emailed us to say that they think the above table isn't quite right.

They suggest the following:


Polo total

Number of distinct responses

9

3

10

6

11

10

12

13

13

10

14

10

15

13

16

10

17

6

18

3


They say:

It is possible that we lack some solutions, but what is absolutely certain is that the list must be symmetric since for every solution in which each row and column add N we can find a solution in which each row and column add 27-N, with the following procedure:
a b c           9-a 9-b 9-c
d   e           9-d     9-e
f g h           9-f 9-g 9-h

Thank you!