There are 2 cubes, each has 6 distinct digits on it, the union of the two sets comprises all 10 digits.
Moreover, the distribution of digits is such that any date of month can be displayed, enabling using them as a desk calendar.

How many distinct arrangements are there:

a. Taking into account the division of numbers between the cubes discounting their order on the cubes' surfaces.
b. Taking into account the division of numbers between the cubes AND their distribution on the cubes' surfaces.
c.Consider both previous cases if one cube is red and the other black.

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