## Task B-1.5.

In the new exhibition of a certain museum, each exhibit is numbered in sequence with the numbers $1, 2, 3, 4, \ldots$ If a total of 2022 digits were used to number all the exhibits, how many exhibits are there in the new exhibition of the museum?
## First solution.

For numbering the exhibits with numbers $1,2, \ldots, 9$, 9 digits were used.

For numbering the exhibits with numbers $10,11, \ldots, 99$, $90 \cdot 2=180$ digits were used.

This totals 189 digits. For numbering with three-digit numbers, $2022-189=1833$ digits were used.

Then $1833: 3=611$ exhibits have a three-digit serial number.

The new museum setup has a total of $9+90+611=710$ exhibits.

2 points