MathRevolution wrote:
Before Alice and Farrell take seates, we don't know which seat is first and which seat is last.
After Alice and Farrell take seates, we can figure out the rest of seats and 4! = 24 is the number of arrangemnets.
The number of ways sitting in round table is \((n-1)!\) where n is number of people.
Here we have 6 people in which A and F position is fixed so can be treated a one unit.
Therefore we just have to find the ways for 5 people to sit.
So \((5-1)! = 4! = 24\)
Is this the right approach?