Geometry

Question Analysis
This question involves the application of the combination formula for non - repetitive selection.
The main focus is on correctly identifying the values of (total number of club members) and (number of members in the team) and then using the formula to calculate the number of combinations.

Key Concept Explanation
The formula is used when we want to choose items from a set of distinct items without repetition, and the order of selection does not matter.
Here, represents the total pool of members, and is the number of members to be selected for the team.

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

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