We rotate the inner disk at 200 different positions.
Now we count the total number of color-matching events.
For each inner section,no matter white or black ,there is 100  color-
matching events.
So total number of color-matching events is 100*200
The summation of color-matching events of 200 different positions are
200*100,
so there must be a inner position which have >=100 color-matching
events.

On Mar 18, 11:17 pm, "Santhosh Suresh" <[EMAIL PROTECTED]>
wrote:
> This problem has been troubling me from quite a long time.
>
> The circumference of two concentric disks is divided into 200 sections
> each. For the outer disk, 100 of the sections are painted red and 100 of
> the sections are painted white. For the inner disk the sections are painted
> red or white in an arbitrary manner. Show that it is possible to align the
> two disks so that 100 or more of the sections on the inner disk have their
> colors matched with the corresponding sections on the outer disk.
>
> Please send in solutions. It seems to be trivial application of PHP.
>
> Thanks,


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