# Hockey game

In the hockey game was made 6 goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequence was possible during the game?

Correct result:

n =  15

#### Solution:

$n={C}_{4}\left(6\right)=\left(\genfrac{}{}{0px}{}{6}{4}\right)=\frac{6!}{4!\left(6-4\right)!}=\frac{6\cdot 5}{2\cdot 1}=15$

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