# A random function

Let \(\mathbb{S}= \{1, 2, \cdots , 2014\}\). A bijective function \(f:\mathbb{S} \rightarrow \mathbb{S}\) is randomly chosen. Find the expected number of integers \(n\) \(\left ( 1 \leq n \leq 2014 \right ) \) such that \(f(n)=n\).

**Note:** This problem isn't original. I got this problem from an INMO training camp.