Geometry

Question Analysis
This question involves the application of the combination formula for combinations without repetition.
The main focus is on correctly substituting the values of and into the formula and performing the correct arithmetic operations.

Key Concept Explanation
The formula is used when we want to find the number of ways to choose items from a set of items without repetition, and the order of selection does not matter.
Here, is the total number of employees, and is the number of employees to be chosen for the committee.

Step - by - Step Solution
Here, (the total number of employees) and (the number of employees in the committee).
First, calculate the factorials:

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