Question

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?

Answer 1

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