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(#M40008685) OTHERS question Keep an EYE

How many minimum races does it take to select 3 top horses out of 9 if only 3 race tracks are available.

Asked In Others Sikandar chouhan (13 years ago)

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ashalatha madasu  (13 years ago)

for first time 3 tracks -3 horses
second time 3 tracks-3 horses
third time 3 tracks -3 horses
by calculating the time we can select the thee top horses

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Sikandar chouhan  (13 years ago)

the answer for this question is 7.
sol->
we have total 9 horses and 3 tracks this means only 3 horses can run at a time.
so we make triplets say X(X1,X2,X3),Y(Y1,Y2,Y3),Z(Z1,Z2,Z3)=>3 races. After these three races we will get 3 horses say (X1,Y1,Z1).Now again perform a race(4th)we came to know who is first. suppose X1 is the first but Y1 and Z1 are not 2nd and 3rd actually this may happen that set x may have another faster horse.for ex. if in the 4th race Y1 was 2nd then it is faster in the set Y and set Z(bcs Z1 was at 3rd)=>5th race with remaining 2 horses of set x.now Z1 was 3rd so it is faster in the set z only =>2 races 1 is with remaining 2 horses of set x and 2nd is with remaining 2 horses of set y.So minimum 7 races.

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Sikandar chouhan  (13 years ago)

3 races is the wrong answer ......the answer for this question is 7

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Aditya Singh  (13 years ago)

i think to select top 3 horses if 3 tracks r available is (9c3)...
i.e. (9*8*7/1*2*3)coz 4 selecting 3 horses from 9 which has to run on the those 3 tracks are done by 9c3 ways or 84 ways..
or we get different combination of 3 horses in 84 ways,then only we can find which one is beter than which one &hence find the top 3 of them.

acc. to MR. Manish we not guarantinely get the top 3 ,we r sure 4 best one only bt dont sure that those are best 3
for eg-if we take a triplet in which top 3 horse r there then after the race we eliminate 2 better horses than other

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