A committee is to be made up from a group of eight candidates. The committee must consist of at least two people. How many ways can the committee be chosen?
+2666 2 people: 8 choose 2 = 28 ways
3 people: 8 choose 3 = 56 ways
4 people: 8 choose 4 = 70 ways
5 people: 8 choose 5 = 56 ways
6 people: 8 choose 6 = 28 ways
7 people: 8 choose 7 = 8 ways
8 people: 8 choose 8 = 1 way
Add all the possibilities up, and you get 247.
