Solve $m! + k! = k! \times n!$
The problem from the 2024 Australian Mathematical Olympiad asks to determine all triples ((k, m, n)) of positive integers satisfying $k! + m! = k! \times n!$.
The problem from the 2024 Australian Mathematical Olympiad asks to determine all triples ((k, m, n)) of positive integers satisfying $k! + m! = k! \times n!$.
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