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songoku

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Suppose 6 people want to sit in circular table. This case is considered as cyclic permutation.

How about if the 6 people want to sit around a rectangular table?

1.

Let say they sit on the longer sides of the table, 3 people on each side and no one sit on shorter side of the table. Is this cyclic permutation?

2.

Let say A sits on the shorter side of the table and B sits on the other shorter side, and the rest 4 people sit on the longer side, 2 people on each of the longer side. Is this cyclic?

3.

Let say now there are 8 people. Six people sit on longer side, 3 people on each side and two people sit on shorter side, 1 person on each of the shorter side. Is this cyclic?

Thanks

How about if the 6 people want to sit around a rectangular table?

1.

Let say they sit on the longer sides of the table, 3 people on each side and no one sit on shorter side of the table. Is this cyclic permutation?

2.

Let say A sits on the shorter side of the table and B sits on the other shorter side, and the rest 4 people sit on the longer side, 2 people on each of the longer side. Is this cyclic?

3.

Let say now there are 8 people. Six people sit on longer side, 3 people on each side and two people sit on shorter side, 1 person on each of the shorter side. Is this cyclic?

Thanks

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