- CFA Exams
- CFA Exam: Level I 2021
- Study Session 2. Quantitative Methods (1)
- Reading 8. Probability Concepts
- Subject 10. Principles of Counting

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**CFA Practice Question**

The National Honor Society at Milton HS has 30 members. They want to select a committee of 5 members to send to the state convention. How many different ways can they select a committee of 5 members from the total 30 members?

B. 14 million

C. 142,506

A. 150

B. 14 million

C. 142,506

Correct Answer: C

A committee does not have an order. So, we want the combinations of 30 objects (members of NHS at MHS) taken 5 at a time:

_{30}C_{5}= 30!/[25! x 5!] = 142506. Thus, there are 142,506 different ways to select a committee of 5 members.###
**User Contributed Comments**
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Comment |
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ashish100 |
no comments here. people must be catching on finally just like me lol |