Handshakes

Ten people will be working together on a committee. If each person shakes all the others' hands only once, how many total handshakes will there be?

Use the table below to develop a formula to predict the number of handshakes for n people.


People Handshakes
1
0
2
   
3
  
4
  

:
:

  
10
  
:
:
  
n