MathDB

A competition involving

n\ge 2

players was held over

k

days. In each day, the players received scores of

1,2,3,\ldots , n

points with no players receiving the same score. At the end of the

k

days, it was found that each player had exactly

26

points in total. Determine all pairs

(n,k)

for which this is possible.

Problem Statement