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Mathematics, 14.03.2020 18:03 omojay3103

There are six people sitting at a circular table. Each person is either tall or short. Let a be the number of people sitting next to at least one tall person, and let b be the number of people sitting next to at least one short person. How many possible ordered pairs (a, b) are there? (For example, (a, b) = (6,0) if all six people are tall, since all six people are sitting next to a tall person, and zero people are sitting next to a short person.)

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