Mistakes give rise to Problems-9

Logic Level 4

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

Otherwise, XLIV×X=CDXL\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)(C,D,I,L,V,X) of single digit positive integers (x0)(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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