Question 116

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)?

Solution

In this case first we have to select the top three salesmen out of 15 and then arrange them as first, second and third.

∴ Number of arrangements = 15C3 × 3! = 2730

Video Solution

video

View More Questions From Probability, Combinatorics

Create a FREE account and get:

All Quant Formulas and shortcuts PDF
170+ previous papers with solutions PDF
Top 5000+ MBA exam Solved Questions for Free

maruti sir image

IIFT Quant Questions | IIFT Quantitative Ability

IIFT Profit and Loss Questions IIFT Arithmetic Questions IIFT Remainders Questions IIFT Venn Diagrams Questions IIFT Logarithms Questions IIFT Averages Mixtures Alligations Questions IIFT Algebra Questions IIFT Logarithms, Surds and Indices Questions IIFT Probability, Combinatorics Questions IIFT Profit And Loss Questions IIFT Inequalities Questions IIFT Time, Speed and Distance Questions IIFT Linear Equations Questions IIFT Averages Questions IIFT Percentages Questions IIFT Progressions and Series Questions IIFT Mensuration Questions IIFT Geometry Questions IIFT Number Series Questions IIFT Data Sufficiency Questions IIFT Coordinate Geometry Questions IIFT Functions, Graphs and Statistics Questions IIFT Number Systems Questions IIFT Time And Work Questions IIFT Averages, Ratio and Proportion Questions IIFT Simple Interest Compound Interest Questions IIFT Quadratic Equations Questions IIFT Time Speed Distance Questions

IIFT DILR Questions | LRDI Questions For IIFT

IIFT Table based DI Sets Questions IIFT Maxima-Minima Questions IIFT Data change over a period Questions IIFT Quant Based DI Questions IIFT Quant Based LR Questions IIFT Data Interpretation Basics Questions IIFT DI Miscellaneous Questions IIFT Data Interpretation Questions IIFT DI with connected data sets Questions IIFT Puzzles Questions IIFT Charts Questions IIFT Coins and Weights Questions IIFT Routes And Networks Questions IIFT Venn Diagrams Questions IIFT Arrangement Questions IIFT Special Charts Questions IIFT Games and Tournamnents Questions IIFT 2D & 3D LR Questions IIFT Truth Lie Concept Questions IIFT Selection With Condition Questions IIFT Miscellaneous LR Questions IIFT Scheduling Questions

IIFT Verbal Ability Questions | VARC Questions For IIFT

IIFT Verbal Ability Questions IIFT Para Jumbles Questions IIFT Para Summary Questions IIFT Vocabulary Questions IIFT Odd One Out Questions IIFT Critical Reasoning Questions IIFT Reading Comprehension Questions IIFT Grammar and Sentence Correction Questions IIFT Miscellaneous Questions