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King Arthur gathered 8 from his knights for a special meeting. It surprised him that they are four pairs of siblings. How many ways can King Arthur arrange the 8 knights around his round table so that at least one knight sits next to his sibling? (Assume that 8 chairs are now arranged evenly around the round table.)

 Jul 9, 2023
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2  x  6! =1440

2^4 * 3 * 7=336

 

1440  +  336 =1776 ways of arranging 4 pairs of siblings around the table.

 Jul 10, 2023

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