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can anyone provide the answer for the puzzle below
There are 25 horses,in each race only 5 horses can
participate.how many races are required to select best 5
horses out of 25.
need answer with detailed explanation
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Answer Posted / rajendra sikaria
First randomly select five horses and grade them by racing
(1,2,3,4,5). Now select four horses from the remaining
twenty and add graded 5 of the first race. Now run the
second race and grade them. If grade is 5,6,7,8,9 five is
selected and other four horses stand eliminated. If grade is
4A,5,7,8,9 the horse graded 4A is selected and rest of the
four horses eliminated. If grade is 4A,4B,5,8,9 the horse
graded 4A,4B is selected and other three horses eliminated.
and so on. Since further grouping is now depends on the
outcome of this race we can not have a unique answer.
Maximum selection from this race could be four horses i.e.
4A,4B,4C,4D where 5 is eliminated. (i.e from each race now
onwards their will be at least one elimination) Now we have
third race consisting of one of the combination
4,4D,10,11,12 or 4,4C,10,11,12,13 or 4,4B,10,11,12 or
4,4A,10,11,12 or 5,10,11,12,13. Each combination will have
five possibility of with respect to 4 or 5. The last
combination is same as second race and we will not discuss.
The first option if result is 4,4D,10,11,12 the horse 4 is
selected and rest eliminated. If the result is
4,4DA,4D,11,12 the horse 4 and 4DA is selected and rest
three is eliminated. And so on.
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