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What is the minimum number of races required to pick the
best three horses from 25 horses if each race has maximum of
5 horses?

Answer Posted / madhu balaji

first five races,
5 5 5 5 5
| | | | |
3 3 3 3 3 total horses remaining=15

take the top one from five races
now you can select the best horse by keeping one
race.take second and third position horse from that race
and neglect forth and fifth.
keep two races for other two batches and select the top
two horses.
[total race: 5+1+2, remaining horses: 2+2+2 and the best is
selected]
now aim is to select second and third.
keep race for 5 horses and select top 2 and make it to
race with the one remaining.now you can select the second
and third best.
thus total race=5+1(selecting the best)+[(2+2)->for
selecting second and third]
TOTAL RACE: 10
(if you want to convey anything,you can mail me)

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