Difference between revisions of "Extreme principle/solutions"
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Revision as of 15:10, 4 June 2011
These are the solutions to the problems on the extreme principle.
1
First, we note that it is impossible for a coin to be tangent to six coins
if each of the
is bigger than
.
Now consider the smallest coin. By the above observation, it is tangent to at most five of the others.