MathDB

Oleksiy writes all the digits from

0

9

on the board, after which Vlada erases one of them. Then he writes

10

nine-digit numbers on the board, each consisting of all the nine digits written on the board (they don't have to be distinct). It turned out that the sum of these

10

numbers is a ten-digit number, all of whose digits are distinct. Which digit could have been erased by Vlada?
Proposed by Oleksii Masalitin

Problem Statement