Answer to Question #319298 in Statistics and Probability for sadia

Question

Sprinters who run races involving curves around a track (usually distances over 200 meters) often have a preference for a particular lane. A runner might feel that an assignment to an outside lane places her at a disadvantage relative to her opponents. In fact, a 2001 survey of college-level sprinters found that 75% preferred to run in lane #4.

Consider this experiment. As a race organizer, you randomly select five runners from a pool of nine and assign them to lane #1, lane #2, lane #3, and so on, in the order they are selected.

How many experimental outcomes are there for this experiment? 

Answer 1

Total number of runners :n=9

Out of 9 runners we select 5

Thus ,the number of experimental outcome =9!/(9-5)!

=15120