The Handshake Function Rule would be f(n)= n(n-1)/2. Ex. 1 person... 1(1-1)/2=0 Ex.3 people... 3(3-1)/2=3. The process to find out how many handshakes you can make with a certain number of people is simple if you plug it into the formula. Another way to find out how many handshakes you can make with a certain number of people can be sketched... Ex. 1 person... { . }= 0 handshakes. 2 people...{ .-. }= 1 handshake. My final conclusion is that there are many ways to find out how many handshakes can be made between a certain number of people.
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