In how many ways can you seat 5 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) 720\n(B) 1720\n(C) 48\n(D) 5040\n(E) 10080
Let’s work this out in a step by step way to be sure we have the right answer.
(C)
Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit.

The remaining 4 people can sit in 4! ways.

Thus the # of arrangements is 2*4! = 48.

.

The answer: (C)