A reputed paint company plans to award prizes to its top three salespersons, with the highest prize going to the top salesperson, the next highest prize to the next salesperson and a smaller prize to the third-ranking salesperson. If the company has 15 salespersons, how many different arrangements of winners are possible (Assume there are no ties)?
Explanation:
This is a case of first selecting the top three salesmen out of 15 and then arranging them as first, second and third i.e. 15P3
∴ Number of arrangements = 15C3 × 3! = 2730
Hence, option (b).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.