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What is the minimum number of races required to find 3 fastest horses out of total 25 horses with only 5 tracks?

What is the minimum number of races required to find 3 fastest horses out of total 25 horses with only 5 tracks?

Proof of minimality To find the fastest, you need to run all 25 horses at least once, and since you can only race 5 horses at a time, you need a minimum of 25/5 = 5 races. Then you need to compare the winners of these races, which means a 6th race is necessary.

What is the minimum number of races required to find top 3?

At no point you can find out the actual speed of the horse in a race. Find out the minimum no. of races which are required to get the top 3 horses. The solution is 7.

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What goes into the empty square?

The first one includes comparing the square with a car’s stick shift. Therefore, the ‘What goes in the empty square its not 6’ puzzle answer is R, which is the ‘reverse’ sign.

How many ways are there for 4 horses to finish if ties are allowed?

75 ways
Hence, counting ties, four horses can cross the finishing line in 1 + 14 + 36 + 24 = 75 ways.

What goes in the empty square 12345 answer?

How many lanes are there on a horse race track?

There are 5 lanes on a race track. One needs to find out the 3 fastest horses among a total of 25. Find out the minimum number of races to be conducted in order to determine the fastest three? – Quora There are 5 lanes on a race track. One needs to find out the 3 fastest horses among a total of 25.

How many horses do you need to find the fastest 3?

Answer to Puzzle #59: 25 Horses, Find the Fastest 3 59. You have 25 horses, you want to pick the fastest 3 horses out of those 25. In each race, only 5 horses can run at the same time. What is the minimum number of races required to find the 3 fastest horses without using a stopwatch?

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How many horses can run at the same time?

59. You have 25 horses, you want to pick the fastest 3 horses out of those 25. In each race, only 5 horses can run at the same time. What is the minimum number of races required to find the 3 fastest horses without using a stopwatch?

How many races are there in a 5 horse race?

The solution is 7. First, we group the horses into groups of 5 and race each group in the race course. This gives us 5 races (see image below). In the image, each row represents one race of 5 horses. For convenience, let us name the horses using row and column index.