When arranging people in a circle, one way to think about it is to fix one person's position and then arrange the remaining people. This is because in a circular arrangement, there is no distinct "first" position, so all arrangements are considered rotations of each other.

So, if we fix one person's position, we are left with 7 people to arrange.

The number of ways to arrange n distinct items is given by the formula n!, which stands for n factorial, and is calculated as n*(n-1)*(n-2)*...*3*2*1.

So, the number of ways to arrange the 7 remaining people is 7!, which is 7*6*5*4*3*2*1 = 5,040.

Therefore, there are 5,040 different seating orders for eight people sitting in a circle.

Question

When arranging people in a circle, one way to think about it is to fix one person's position and then arrange the remaining people. This is because in a circular arrangement, there is no distinct "first" position, so all arrangements are considered rotations of each other.

So, if we fix one person's position, we are left with 7 people to arrange.

The number of ways to arrange n distinct items is given by the formula n!, which stands for n factorial, and is calculated as n*(n-1)*(n-2)*...*3*2*1.

So, the number of ways to arrange the 7 remaining people is 7!, which is 7*6*5*4*3*2*1 = 5,040.

Therefore, there are 5,040 different seating orders for eight people sitting in a circle.

Knowee AI · Accepted Answer

When arranging people in a circle, one way to think about it is to fix one person's position and then arrange the remaining people. This is because in a circular arrangement, there is no distinct "first" position, so all arrangements are considered rotations of each other.

So, if we fix one person's position, we are left with 7 people to arrange.

The number of ways to arrange n distinct items is given by the formula n!, which stands for n factorial, and is calculated as n*(n-1)*(n-2)*...*3*2*1.

So, the number of ways to arrange the 7 remaining people is 7!, which is 7*6*5*4*3*2*1 = 5,040.

Therefore, there are 5,040 different seating orders for eight people sitting in a circle.

How many different seating orders are there for eight people sitting in a circle?

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How many different seating orders are there for eight people sitting in a circle?

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