In how many ways can you seat 8 people on a bench if one of them does not want to sit in one of the two middle seats or at either end?
Select the correct option
A) 17,540	B) 18,360	C) 19,320	D) 20,160	E) 21,480
One person can choose 4 possible chairs to sit. The remaining 7 people can sit in 7! ways.   The number of arrangements is 4*7! = 20,160.   The answer is 20,160.
<result>D</result>
In how many ways can you seat 8 people on a bench if one of them does not want to sit in one of the two middle seats or at either end?