Hockey game

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

Correct result:

n =  15

Solution:

n=C4(6)=(64)=6!4!(6−4)!=6⋅52⋅1=15n = C_{{ 4}}(6) = \dbinom{ 6}{ 4} = \dfrac{ 6! }{ 4!(6-4)!} = \dfrac{ 6 \cdot 5 } { 2 \cdot 1 } = 15

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