[ Decimal numeral system ] $[\quad$ Case enumeration $\quad]$

## Author: Raskina I.V.

The year 2009 has the property that by rearranging the digits of the number 2009, it is impossible to obtain a smaller four-digit number (numbers do not start with zero). In which year will this property reappear for the first time?
Author: Raschina I.V.

In the years $2010, 2011, \ldots, 2019$ and in 2021, the number of the year contains a one, and if it is moved to the first position, the number will definitely decrease. The number 2020 can be reduced to 2002. However, the number 2022 cannot be reduced,

## Answer

in the year 2022.