Question 19
Suppose $\overline{ABC}$, $\overline{DEF}$, and $\overline{GHI}$ are three-digit numbers such that
- $\overline{ABC}+\overline{DEF}+\overline{GHI}=2023$,
- All nine digits are distinct,
- $\overline{ABC}<\overline{DEF}<\overline{GHI}$, and
- $C=0$.
How many different arrangements satisfy all these conditions?
- $\overline{ABC}+\overline{DEF}+\overline{GHI}=2023$,
- All nine digits are distinct,
- $\overline{ABC}<\overline{DEF}<\overline{GHI}$, and
- $C=0$.
How many different arrangements satisfy all these conditions?