In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
(A) 360
(B) 1720
(C) 2880
(D) 5040
(E) 10080 OK. Let's think. Some random thoughts first:
Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 3 chairs to sit. The remaining 5 people can sit in 5! ways. Thus the # of arrangements is 3*5! = 360. The answer: (A).