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23 people attend a party. Each person shakes hands with at least two other people. What is the minimum possible number of handshakes?

 Jul 13, 2020
 #1
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23 people must shake hands with 22 other people  

   this would be 23 x 22 = 506 handshakes BUT two people are involved with each handshake

     so   506 /2 = 253 handshakes

 Jul 13, 2020
 #2
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I tried putting your answer in to the system but it said that the answer is incorrect.

Guest Jul 13, 2020
 #3
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Sorry..... I misread (actually didn't read the whole Q)...

 

23 people must shake hands with AT LEAST 2 other people

 

23 x 2 = 46 handshakes    ....but each involves TWO people    sooooo   46/2 = 23 handshakes

ElectricPavlov  Jul 13, 2020

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