Math 110 problem...help?

Ann, Brian, Clark, Dean, Emily, Frank, and Greg are student senators. A committee is being formed that must include atleast one of these senators.

How many different variations for the committee are there?

10 points!

Anonymous2009-02-10T09:21:45Z

Favorite Answer

You must use combinations to solve this one, like so:

7C1 + 7C2 + 7C3 + 7C4 + 7C5 + 7C6 + 7C7

I won't solve it for you, but I will give you everything you need to know to solve it. The formula for combinations is:

nCr = (n!)/[(n-r)!(r!)]

So, simply apply that formula to all of the combinations above then add to get your answer.