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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?

 Jan 24, 2022
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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.

 Jan 25, 2022

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