In a class 6 students have to be arranged for a photograph. If the prefect and the vice must occupy the positions at either ends, how many ways the students can be arranged?
48
The 4 students apart from the prefect and the vice can be arranged in 4! ways.
The prefect and the vice can be arranged among themselves in 2! ways. Hence, by the Fundamental Principal of counting, the total number of ways
= 4! x 2! = 48