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You need to find our the fastest three (in order) out of six
horses. You have a racing track in which three horses can
run at the same time. What is the minimum number of races
required? Taking notations as A1,A2,A3 and B1,B2,B3 for 6
horses, explain your answer. (You don't have any time
measurement tool.)
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Answer Posted / apoorv
3 races ..first do race b/w the any three .. let race is held b/w a1,a2,a3 ... record who came first and second and third. now hold another race b/w b1,b2,b3 ... record their ranking. let a1 and b1 came first in their respective races... now hold another race b/w a1 and b1... and a2/b2.(m taking a2). CASE1 suppose a1 came first then a2 came second and b1 came third.. then a1 is the fastest a2 is lil slower, and b1 is slowest of three... CASE2 if b1 came first then another race is held b/w b1 b2 a1.. to see whos the fastest.... So minimum races req. is 4! (a3 and b3 are left as we now know they couldnt be in top 3)
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