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echo: c_echo
to: All
from: Neil Heller
date: 2004-05-14 12:56:02
subject: A horse race

Given that:

     You are put in charge of 25 horses.

     You need to determine which 5 horses are the fastest runners.

     Each horse runs any race at exactly the same speed.

     The speed of any one horse may be different from the speed
     of any other horse.

     You have access to a race track with only 5 lanes.
     Any race can involve at most 5 horses.

question #1:

     What is the fewest number of races that need to be run to determine 
which are the five fastest horses?

consideration:

     If the 25 horses are divided into (arbitrary) groups of 5, the 
fastest horse in one group of 5 may be slower than any of the horses in 
another group.

question #2:

     How would you show your progression in a matrix?

þ CMPQwk 1.42 999

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