Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem C. 1248. (October 2014)

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 pont)

Deadline expired on November 10, 2014.

### Statistics:

 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 solutionss.

Problems in Mathematics of KöMaL, October 2014