Mistakes give rise to Problems-9

Logic Level 4

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.

This problem is inspired from and is a part of the set:- Mistakes give Rise to Problems.

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