Volleyball

8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?

Correct result:

n =  28

Solution:

$n={C}_{6}\left(8\right)=\left(\genfrac{}{}{0px}{}{8}{6}\right)=\frac{8!}{6!\left(8-6\right)!}=\frac{8\cdot 7}{2\cdot 1}=28$

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