WebMar 2, 2024 · Answer: If the symmetry of the table is not taken into account the number of possibilities is 5! = 120. In this case it would be the same as ordering people on a line. However if rotation symmetry is taken into account, there are five ways for people to sit at the table which are just rotations of each other. WebThe Question: "Eight people are to be seated around a table; the chairs don't matter, only who is next to whom, but left and right are different. Two people, X and Y, cannot be seated next to each other. How many seating arrangements are possible?" My Method: First, I imagined the combinations of just seating 8 people at the table, by placing a person in a …
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WebOct 10, 2014 · $\begingroup$ You are supposed to consider rotations around the table to be indistinguishable. There are $5!$ distinct arrangements of six people around the table since there are six identical rotations of each arrangement, giving $$\frac{6!}{6} = 5!$$ arrangements. $\endgroup$ – WebOct 8, 2024 · 7. Ten people are sitting around a circular table according to the following conditions: There are two persons between X and U. Y is neither adjacent to X nor … millets high wycombe opening times
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