MHB Number of Handshakes at UN Meeting: 15

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At a United Nations meeting with 15 delegates, the total number of handshakes exchanged can be calculated using the formula n(n-1)/2. For 15 delegates, this results in 15(15-1)/2, which equals 105 handshakes. Each delegate shakes hands with every other delegate exactly once. The calculation accounts for the fact that each handshake involves two individuals. Therefore, the total number of handshakes at the meeting is 105.
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at a United Nations meeting, a group of 15 delegates meet to discuss an international peace treaty. If all of the delegates shake hands with one another, how many handshakes are exchanged?
 
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That should be straight forward. In a group of n people each person shakes hands with the n-1 other people. That would be a total or n(n-1) except that each had shake involves two people. The total number of hand shakes is n(n-1)/2.
 

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