Question 17
Find all triples of natural numbers $(x, y, n)$ satisfying the relation
$$
\frac{x! + y!}{n!} = 3^n
$$
(with the convention $0! = 1$).
$$
\frac{x! + y!}{n!} = 3^n
$$
(with the convention $0! = 1$).
MathNet 2005 — Part 04 Question 17
Math Olympiad Vault · MathNet 2005 — Part 04