- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 3. Probability Concepts
- Subject 10. Principles of Counting

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**CFA Practice Question**

BeigeBox, a computer manufacturer, can construct computer systems with any one of 4 processors, 2 memory configurations, 3 hard drives, 2 monitors, 2 keyboards, and 2 CD drives. How many unique configurations of computer systems can BeigeBox construct?

A. 192

B. 96

C. 384

**Explanation:**The multiplication rule of counting states with the number of combinations available when there are n_1 options in one aspect, n_2 in another, and so on, up to n_k, is n_1 * n_2 * ... * n_k. In this case, the number of combinations is 4*2*3*2*2*2 = 192.

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**User Contributed Comments**
3

User |
Comment |
---|---|

sunnyhui |
this question is tricky cause people can have more then 1 cd drive so i feel like the author obviously dont know anything about computers |

abs013 |
Who the hell needs to keyboards? |

jacojacobs |
Sunnyhui, the question reads "any one of.." meaning you just get one of each, therefore only 1 CD drive, and only 1 of every item. |