GMAT Math

If 6 people are going to sitting at a round table, but Sam will not sit next to Suzie, how many different ways can the group of 6 sit?
A) 120
B) 108
C) 96
D) 74
E) 56

OA is C

Total circular permutation = 1/6 (6!) = 120
now we consider a case where sam and suzie sit next to each other,
A B C D suize sam
5. 4.3. 2. 1. 1 total circular permuation = 1/5 (5!) = 24

120-24 = 96

am i doing right

i think u r wrt8



u can also use formula - fact n-1 - fact n-2

fact 5- fact 4

Yes, the simple way is (n-1)!

Can someone please explain how the formula n-1! - n-2! Applies to this problem?