Hi!
When we find combinations the order of selecting objects is not important whereas in permutations the order of objects is important. So here we have to find permutations and there are 4 people and 4 chairs around the table. Following is the formula for calculating permutations. Here in our case n=4 and r=4. Put values in this formula.
P ( n , r ) = n ! ( n − r ) !
P ( n, r ) =4! (4-4)!
=4x3x2x1 (4-4)!
=24(0)!
=24 x 1
=24 --Remember 0!=1 always.
So 4 people can be seated in 24 different ways around a circular table.