Geometry

Question Analysis
This question involves the application of the combination formula for non - repetitive selection.
The main focus is on identifying the values of (total number of dessert types) and (number of desserts to choose) and correctly applying the formula .

Key Concept Explanation
The formula is used to calculate the number of ways to choose distinct items from items when the order of selection does not matter.
Here, each dessert type is unique, and the order in which they are picked for the platter doesn't affect the final selection, so combinations are applicable.

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