Geometry

Question Analysis
This question involves applying the combination formula for combinations with repetition.
The main focus is on correctly substituting the values of (number of gemstone types) and (number of gemstones for the pendant) into the formula to find the number of combinations.

Key Concept Explanation
The formula is used when we can choose items from types of items with repetition allowed, and the order of selection doesn't matter. Here, and .

Step - by - Step Solution
Calculate the factorials:

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