Financial Risk Manager Part 1

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A teacher wants to select groups of 3 students out of 15 for group work. How many different groups of 3 are possible?

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NNikitesh

Last updated: February 2, 2026 at 10:22

225

455

Explanation:

This is a combination problem where order doesn't matter. The formula for combinations is:

$_nC_r = \frac{n!}{(n-r)!r!}$

Where:

$_{15}C_3 = \frac{15!}{(15-3)!3!} = \frac{15!}{12!3!} = \frac{15 \times 14 \times 13}{3 \times 2 \times 1} = \frac{2730}{6} = 455$

Therefore, there are 455 different groups of 3 students possible from 15 students.

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