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?
I'll try .....
12 players total
each shakes hands with 8 players (total of two other teams) x 3 times 12 x 8 x 3
each of the 12 shakes hands (once) with 3 of their teammates...... 12 x 3 x 1
each handshake involves two people so divide by 2
(12 x 8 x 3 + 12 x 3 x 1 ) / 2 = 162 handshakes (I think!)