TITLE: Suppose S = {1,2,3,4}. How many diﬀerent subsets are there of S?
QUESTION [2 upvotes]: Given: $S=\{1,2,3,4,5,6,7\}$
How many subsets of $S$ are there which have more than one element?
I know that there are $2^7=128$ subsets of $S$.  Now, if we take into account the empty set, then shouldn't there be $2^7-8=120$ subsets of $S$ that have more than one element?  I'm trying to find out if my thinking is correct.
Thank you in advance!

REPLY [0 votes]: community wiki answer so this question can be closed
Your solution is correct.
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