Indian Institute of Foreign Trade 2016 Solved Paper

Question : 13 of 123

Marks: +1, -0

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)?

1728
2730
3856
1320

Validate

Solution:

(b) The total no. of arrangement

^15 C _ { 3 }× 3 ! = { 15 ! } /{ 12 ! } = 15 × 14 × 13 = 2730

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