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?\nOptions:\n(A) 360\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080 Stream of consciousness:
User
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.
Thus, the answer is (A).
Assistant