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

Answer Posted / a

Initially 5 horses will participate out of 25. therefore
there are remaining 20 horses for the race.
Now from those five, the best 1 is selected.

now excluding the best one, pick one horse from the
remaining 20, and compete with the 4 failed horses.
again we get the best one among them.(20 races take place)

go on repeating the same thing until all the horses have
competed with each other. Thus, in the end you get 15 best
horses. (this means 15 more races have taken place)

Now again 5 horses will participate from those 15 best
horses. the same procedure is repeated, until you get 10
best horses.(20+15+'10' races took place)

now, those 10 best horses will compete with each other to
get 5 horses. (ie 20+15+10+5 races have taken place)

Meanwhile every horse competes with every other horse...
Races taken place are (20+15+10+5)= 50 races

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