Teams

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

Correct answer:

n =  12870

Step-by-step explanation:

$n=C_8(16)=\left({\displaystyle \genfrac{}{}{0px}{}{16}{8}}\right)={\displaystyle \frac{16!}{8!(16-8)!}}={\displaystyle \frac{16\cdot 15\cdot 14\cdot 13\cdot 12\cdot 11\cdot 10\cdot 9}{8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}}=12870$

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