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RMO 2013 C2

CRMO Paper 3

Find all $4$ -tuples $(a,b,c,d)$ of natural numbers with $a \le b \le c$ and $a!+b!+c!=3^d$

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2013 official paper, page 1.

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