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:

$n=C_4(6)=\left({\displaystyle \genfrac{}{}{0px}{}{6}{4}}\right)={\displaystyle \frac{6!}{4!(6-4)!}}={\displaystyle \frac{6\cdot 5}{2\cdot 1}}=15$

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