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prealgebra senior
Problem
At the national curling championships, there are three teams of four players each. After the championships are over, the very courteous participants each shake hands three times with every member of the opposing teams, and once with each member of their own team.
How many handshakes are there in total?
How many handshakes are there in total?
Solution
For each participant, there are 8 opponents to shake hands with, and 3 team members to shake hands with, giving handshakes for each individual participant.
There are 12 players in total, which offers handshakes, but since a handshake takes place between two people, we've counted every handshake twice.
The final answer is handshakes.
There are 12 players in total, which offers handshakes, but since a handshake takes place between two people, we've counted every handshake twice.
The final answer is handshakes.
Final answer
162