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there are 3 members on a hockey team (including all goalie) at the end of a hockey game each member if the team shakes hands with each member of the opposing team. how many handshakes occur?

Respuesta :

[tex]\begin{gathered} \text{There are 2 teams, so:} \\ \text{Total of members=6} \\ C(n,k)=nCk=\frac{n!}{k!(n-k)!} \\ n=6 \\ k=2 \\ C(6,2)=6C2=\frac{6!}{2!(4)!}=\frac{720}{48}=15 \end{gathered}[/tex]

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