Counting

 

A committee is to be made up from a group of eight candidates. The committee must consist of at least two people, but at most four people. How many ways can the committee be chosen?    

 

₈C₂  =  28    

₈C₃  =  56    

₈C₄  =  70    

 

Add up the possibilities.    

The total comes to 154    

_.