In Roman Numerals, if you say that $XLIV\times X=CDXL$, you're correct.

Otherwise, $\overline{XLIV}\times \overline{X}=\overline{CDXL}$ is a mistake and it's not necessarily correct.

For how many ordered six-tuplets $(C,D,I,L,V,X)$ of single digit positive integers $(x\neq 0)$ is this mistake true?

**Note:** All letters must denote different numbers.