The number of handshakes at a UN meeting can be calculated using the formula n(n-1)/2, where n is the number of people in attendance. In this case, n=15, so the number of handshakes would be (15*14)/2 = 105.
The number of handshakes can be seen as a measure of the level of interaction and cooperation between world leaders at the UN meeting. It also reflects the number of connections and relationships being formed between individuals and countries.
No, it is not possible to have more than 15 handshakes at a UN meeting with only 15 people in attendance. The maximum number of handshakes can only be achieved when every person present shakes hands with every other person, which is represented by the formula n(n-1)/2.
If the number of people at the UN meeting increases, the number of handshakes will also increase. The relationship between the number of people (n) and the number of handshakes (n(n-1)/2) is directly proportional, meaning that as one value increases, the other value also increases.
The number of handshakes at a UN meeting can provide some insight into the level of interaction and cooperation between world leaders, but it should not be considered as a sole measure of international relations. Other factors such as agreements, resolutions, and diplomatic relations should also be taken into consideration.