# A random function

Level pending

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.

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