Geometry

Question Analysis
This question focuses on the application of the combination formula for combinations with repetition.
The core task is to precisely identify the values of (the number of color pencil types) and (the number of color pencils to be bought) and then utilize the formula to compute the number of combinations.

Key Concept Explanation
The formula is employed when we aim to select items from types of items with the allowance of repetition, and the order of selection holds no significance. In this instance, and .

Step - by - Step Solution
First, calculate the factorials:

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