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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?
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Answer Posted / love goel
We will only need 7 races to get the best three out of 25.
Let us Name horses as H1, H2, H3...H25. Now,
Race 1 - H1 - H5
Race 2 - H6 - H10
Race 3 - H11 - H15
Race 4 - H16 - H20
Race 5 - H21 - H21
Let us now assume
First Rank of Race 1 - W11
Second Rank of Race 1 - W12
.
.
First Rank of Race 2 - W21
.
Third Rank of Race 2 - W23
.
.
Fifth Rank Of Race 5 - W55
Race 6 - W11 , W21 , W31, W41, W51 ( toppers from first
five races)
Race 7 - 2nd from Race 6, 3rd from Race 6, X, Y , Z where
X= 2nd winner from the team of winner of race 6
Y= 3rd winner from the team of winner of race 6
Z= 2nd winner from the team of 2nd winner of race 6
So the three best horses will be , Winner of Race 6 and
Winner and Second Winner of Race 7.
| Is This Answer Correct ? | 23 Yes | 8 No |
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