for example Example
4 people = 6 handshakes
This is because Person A handshakes B, C, and D. now everyone has handshaked
Person A. So now its just three people. B shakes C and D and now everyone has
shaked him. Now C shakes D and that's it. The answer is six.
You might notice that the number of handshakes decreases per people. For four,
it starts of with three, than two, than one. So 4 people = 3 + 2 + 1 = 6.
Applying the same principle here
2 people=1 hand shake
3 people=3 hand shake
4 people=6 hand shake
5 people=10 hand shake
6 people=15 hand shake
7 people=21 hand shake
8 people=28 hand shake
9 people=36 hand shake
10 people =45 is the right
For a proof
Sep 15th, 2014
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