A company has 10 employees, and it wants to form a committee of 3 employees. The number of different committees that can be formed is ______.
Answer & Analysis
Analysis
Question Analysis
This question involves the application of the combination formula for combinations without repetition.
The main focus is on correctly identifying the values of (total number of employees) and (number of employees in the committee) 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 items without repetition, and the order of selection does not matter.
Here, and .
Step - by - Step Solution
First, calculate the factorials:
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