Number of subsets of a set

I have a question that is: " How many subsets with more than two elements does a set with $100$ elements have? "
Can you help me understanding it step by step?
Thanks in advance .....

Hint 1: A set of $m$ elements has $\binom{m}{n}=\frac{m!}{n!(m-n)!}$, $\ n$-element subsets. So in your case you have to perform the summation of the above values for $m=100$ and $2< n\leq 100$.
Hint 2 (alternative): The total number of subsets of a $100$-elements set, is $2^{100}$. How many of them are subsets with less than two elements?
• Read carefully my post above: the number of $2$-element subsets is $\binom{100}{2}$. – KonKan Oct 13 '16 at 5:32