Posted by **Laura** on Wednesday, September 15, 2010 at 10:33pm.

Assume that the set S has 14 elements.

How many subsets of S have at most 4 elements?

- math -
**Reiny**, Wednesday, September 15, 2010 at 10:37pm
null set --- 1

one element --- C(14,1) = 14

two elements --- C(14,2) = 91

three elements --- C(14,3) = 364

four elements --- C(14,4) = 1001

add them up.

- math -
**bhow**, Monday, September 20, 2010 at 11:13pm
^no, I just tried it and it isn't right. any other suggestions?

- math -
**bhow**, Monday, September 20, 2010 at 11:21pm
Got it:

C(14,0)+C(14,1)+C(14,3)+C(14,4)=answer

I hate webwork.......

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