Geometry

Question Analysis
This question involves the application of the combination formula in a real - world scenario of forming a committee.
The main focus is on understanding how to calculate the number of combinations when the order of selection does not matter.

Key Concept Explanation
The combination formula is , where is the total number of items, is the number of items to be chosen, and denotes the factorial operation.
In combinations, the order in which the items are selected does not affect the result.

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