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C. 1248. Determine all three-digit integers $\displaystyle \overline{abc}$ such that $\displaystyle \overline{abc}=a!+b!+c!$, where $\displaystyle n!$ denotes the product of positive integer 1 to $\displaystyle n$.

(5 points)

Deadline expired on 10 November 2014.

Statistics on problem C. 1248.
 271 students sent a solution. 5 points: 138 students. 4 points: 64 students. 3 points: 25 students. 2 points: 23 students. 1 point: 11 students. 0 point: 8 students. Unfair, not evaluated: 2 solutions.

• Problems in Mathematics of KöMaL, October 2014

•  Támogatóink: Morgan Stanley