In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?
Choose the correct choice:
A) 24
B) 48
C) 120
D) 240
E) 480
5 people can sit in 5! ways.   If 2 of them must sit next to each other, they can sit in 4! ways.   Now, these 2 persons who sit next to each other , can sit in 2! ways.   Therefore, total different ways in which 5 people can sit are 2! x 4! = 48.   Correct answer is 48.
<result>B</result>
In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?