Ten people sit at a round table. The sum of Rupees 10 is to be distributed among them so that each person receives the average of what each of his two neighbours receives.

In how many different ways can this be achieved ?
[Given: 1 Rupee = 100 Paise]

It seems to me that 1 rupee each is the one and only way to distribute the money, given the conditions.

Let's call the people (and the amounts) A, B, ... J. If C received more than A, then we have A

Posted by pleasance on 2003-05-30 02:47:41