Number of Handshakes at UN Meeting: 15

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SUMMARY

At a United Nations meeting with 15 delegates, the total number of handshakes exchanged is calculated using the formula n(n-1)/2. For 15 delegates, this results in 15(15-1)/2, which equals 105 handshakes. This mathematical approach ensures that each handshake is only counted once, as each involves two participants. The formula is applicable to any group size, making it a versatile tool for similar calculations.

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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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