The understood Venn diagram is of 3 circles overlapping each other to form 7 enclosed regions.
Consider this structure being imposed upon the "Olympic Rings" to create 15 regions.
Place one number from 1 to 15 in each region so that the middle top ring (Black
) has a total of Z + 2
while the other 4 total Z
1. A B F G [Z]
2. B C D G H I J K [Z+2] (Black)
3. D E K L [Z]
4. F G H I M N [Z]
5. I J K L N O [Z]
Note: Olympic Rings
has fewer overlaps.
(In reply to re: Solution
Why can't that be right?
The number is divisible by 2, as each solution has a reverse.
There's no need for the number to be divisible by 9 as there may be a different number of solutions for different totals.
Was there another criterion for saying the number is impossible?
Posted by Charlie
on 2008-06-09 12:20:00