Geometry

Question Analysis
This question involves the application of the combination formula for repetitive selection.
The main focus is on correctly substituting (number of paint colors) and (number of paint tubes) into the formula and performing the necessary factorial calculations.

Key Concept Explanation
The formula is used when we can choose items from types of items with repetition allowed, and the order of selection does not matter.
It accounts for the increased number of possibilities when the same color of paint can be bought multiple times.

Step - by - Step Solution
Calculate the factorials:

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