Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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There are n horses. At a time only k horse can run in the single race. How many minimum races are required to find the top m fastest horses?

There are n horses. At a time only k horse can run in the single race. How many minimum races are required to find the top m fastest horses? Please explain your answer. (There is no timer.) This was ...