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There are 6 married couples at a party. At the start of the party, every person shakes hands once with every other person except his or her spouse. How many handshakes are there?

tertre  Nov 26, 2017
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3+0 Answers

 #1
avatar+59 
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There were 60 handshakes.

Conman13  Nov 26, 2017
edited by Conman13  Nov 26, 2017
 #2
avatar+79894 
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Note that the first couple  each shake 10 hands

The next couple each shake 8 hands

The next each shake shake 6 hands....etc.

 

So   2 * (10 + 8 + 6 + 4 + 2)  =  60 handshakes  

 

 

cool cool cool

CPhill  Nov 26, 2017
 #3
avatar+59 
+1

Thats what I did but I can't explain some things really well, so thanks CPhill.

Conman13  Nov 27, 2017

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