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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?

mathbum  Sep 28, 2018
 #1
avatar+13014 
+2

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!) cheeky

                                                 (corrected)

ElectricPavlov  Sep 28, 2018
edited by ElectricPavlov  Sep 28, 2018
 #2
avatar+81 
+1

I retried it and got 162. Could someone double check?

mathbum  Sep 28, 2018
 #3
avatar+13014 
+1

Yah....I got 162      if you do the math that is what it equals    168 was a typo

(12 x 8 x 3  + 12 x 3 x1)/2 = 162

ElectricPavlov  Sep 28, 2018

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