Question

In how many ways can 8 persons be seated at a round table

Answer 1

Given data:

8 persons can be arranged around a circular table.

To find:

The number of ways in which we can arrange them around the circular table.

Step-by-step solution:

We can arrange the elements in a circular fashion in (n-1)! ways, where n refers to the number of elements to be arranged.

We can arrange those eight units in (8-1)! ways

                                                            = 7! ways

                                                            = 5040 ways.

Therefore, 8 persons can be arranged around a circular table in 5040 ways.

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In how many ways can 8 persons be seated at a round table

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Answer 2

Given data:

A circular table may seat up to eight people.

To find:

We can arrange them in a variety of ways around the circular table.

Step-by-step solution:

In (n-1)! ways, we can arrange the elements in a circular form, where n is the number of elements to be organised.

We can arrange those eight units in (8-1)! ways

                                                           = 7! ways

                                                          $= 5040$ ways.

Therefore, 8 persons can be arranged around a circular table in $5040$ ways.

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