# Trinity

How many different triads can be selected from the group 43 students?

Correct result:

n =  12341

#### Solution:

$n={C}_{3}\left(43\right)=\left(\genfrac{}{}{0px}{}{43}{3}\right)=\frac{43!}{3!\left(43-3\right)!}=\frac{43\cdot 42\cdot 41}{3\cdot 2\cdot 1}=12341$

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