Question

In how many ways 15 people can be sealed at a round table if B refusrs to sit next to A

Answer 1

For the pair of people sitting together. one of them has 6 seating possibilities. the the accompanying person, there are two available selections for each of the first person’s seat for a total of 12 possible arrangements for the two. For each of those seating assignments there are 4x3x2x1, or 4! seating possibilities, or 24. The product of these two numbers (12x4!) is the number of possible seating selections which meets the criteria.

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