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 ?<\/p>\n<\/div>\n<\/div>\n

We will only need 7 races to get the best three out of 25.<\/p>\n

Let us Name horses as H1, H2, H3…H25.<\/p>\n

Now,<\/p>\n

Race 1 – H1 – H5
\nRace 2 – H6 – H10
\nRace 3 – H11 – H15
\nRace 4 – H16 – H20
\nRace 5 – H21 – H21<\/p>\n

Let us now assume<\/p>\n

First Rank of Race 1 – W11
\nSecond Rank of Race 1 – W12
\n.
\nFirst Rank of Race 2 – W21
\n.
\nThird Rank of Race 2 – W23<\/p>\n

Fifth Rank Of Race 5 – W55<\/p>\n

Race 6 – W11 , W21 , W31, W41, W51 ( toppers from first five races)<\/p>\n

Race 7 – 2nd from Race 6, 3rd from Race 6, X, Y , Z where<\/p>\n

X= 2nd winner from the team of winner of race 6
\nY= 3rd winner from the team of winner of race 6
\nZ= 2nd winner from the team of 2nd winner of race 6<\/p>\n","protected":false},"excerpt":{"rendered":"

Answer : 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