# The Answer May Surprise You

Let $$n$$ be a natural number. Let $$(a_k)_{k=1}^{n}$$ be a permutation of the numbers $$\{1,2,3, ... n\}$$. Let $$p_n$$ be the probability that $$a_k \neq k$$ for all $$1 \le k \le n$$.

Find $$\lim_{n \to \infty} \ln(p_n)$$.

×

Problem Loading...

Note Loading...

Set Loading...