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 / dileep p g
Answer : 7 races
PERFECT SOLUTION is already there from Jason Mitchell !!!
Detailed Explanation
--------------------
First 5 races => all 25 different horses
Race 6 => 5 winners from 1st 5 races
let r1,r2,r3,r4,r5 represent the 1st 5 races sorted
according to the results of race 6.
Race 6 results
---------------
1st : winner of r1
2nd : winner of r2
.......
.......
5th : winner of r5
Position after 6 races:
-----------------------
r1 r2 r3 r4 r5
1a 1b 1c 1d 1e (1st places)
2a 2b 2c 2d 2e (2nd places)
3a 3b 3c 3d 3e (3rd places)
Race 7:
-------
1a is the overall champion => Race 7 is to decide who comes
overall 2nd & 3rd.
To decide the participants of race 7, we start elimination
1a obviously cant b 2nd or 3rd as it is 1st !!
1d & 1e are not good enough to be 2nd or 3rd even in Race 6
proceeding along similar lines, we can see that
2nd can be 1b, 2a or 3a
3rd can be 2a, 3a, 1b, 2b or 1c
=> a total of 5 possibile contenders - 2a, 3a, 1b, 2b, 1c
=> run Race 7 with these horses
RESULT
------
overall 1nd = winner of Race 6
overall 2nd = winner of Race 7
overall 3rd = 2nd in Race 7
_________________________________
=================================
| Is This Answer Correct ? | 7 Yes | 2 No |
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