# Teams

How many ways can divide 16 players into two teams of 8 member?

Correct result:

n =  12870

#### Solution:

$n={C}_{8}\left(16\right)=\left(\genfrac{}{}{0px}{}{16}{8}\right)=\frac{16!}{8!\left(16-8\right)!}=\frac{16\cdot 15\cdot 14\cdot 13\cdot 12\cdot 11\cdot 10\cdot 9}{8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}=12870$

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