Geometry

Question Analysis
This question involves circular permutations.
The main focus is on understanding the concept that in circular arrangements, the relative order of the objects matters, and the formula for circular permutations of distinct objects is .

Key Concept Explanation
In a linear permutation, changing the starting point of the arrangement gives a different permutation.
But in a circular arrangement, all arrangements that can be obtained by rotating the objects around the circle are considered the same.
So, for distinct objects arranged in a circle, we fix one object's position and then arrange the remaining objects, which gives us the formula .

Step - by - Step Solution
Here, (the number of people to be seated around the circular table).
Using the formula for circular permutations , we substitute and get

Click "Show Answer" to reveal the answer and analysis