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]

There is precisely one way of achieving the  distribution in conformity with the given conditions- that is, each person will receive exacly Rupee 1.

Posted by K Sengupta on 2022-08-15 07:22:11