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# CFA Level 1 Question of the Week - Quantitative Methods

MontrealPosts: 141 Associate
A teacher wants to select groups of 3 students out of 15 for a group work. How many different groups of 3 are possible?
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## CFA Level 1 Question of the Week - Quantitative Methods 7 votes

A. 455
B. 45
14% 1 vote
C. 225
14% 1 vote

• MontrealPosts: 141 Associate
The correct answer is A.

Counting problems involve determining the exact number of ways two or more operations or events can be performed together. This particular counting problem can be solved using a combination, which is basically a selection of some given items where the order does not matter. The formula is:

nCr = n!/((n-r)!r!)

Where
n=15; and
r=3

nCr = 15!/((15-3)!*3!) = 455
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