Negilible Function $\frac{1}{n!}$ Is $\frac{1}{n!}$ a negligible function where $n$ is a security parameter?

Application: I have a vector of n>100 elements. I permute it and give it to an adversary. The adversary can break it if it can find the original oder of vector. Its probability to succeed is: $\frac{1}{n!}$. Thus, I need to know whether this probability is negligible.
Hint: you can notice that $n! &gt; 2^n$ (except for very small $n$).