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!