Delegates around table [2011.II.12]
Source:
March 31, 2011
probabilitygeometrygeometric transformationrotationnumber theoryrelatively primecomplementary counting
Problem Statement
Nine delegates, three each from three different countries, randomly select chairs at a round table that seats nine people. Let the probability that each delegate sits next to at least one delegate from another country be , where and are relatively prime positive integers. Find .