I am leaving for a vacation, and hence not able to post the solution to the last week’s puzzle. In the meantime, here is another puzzle, will post the answers to both next week. This puzzle is courtesy Alok Mittal, who gave this to his students in the Mathematical Circles class.
People are seated around a circular table at a restaurant. The food is placed on a circular platform in the center of the table and this circular platform can rotate. Each person ordered a different entrée, and it turns out that no one has the correct entrée in front of him. Show that it is possible to rotate the platform so that at least two people will have the correct entrée.
Please send your answers either directly on the blog site as comments, or to me at firstname.lastname@example.org. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.
Happy dining…with the right dish!