2 problems

Let $A_n$ be the alternating group, and let the density of a subset of $A_n$ be its size divided by $|A_n|$. A subset is normal if it is a union of conjugacy classes. For subsets…

Let $A_n$ be the alternating group. A subset $A\subseteq A_n$ is normal if it is a union of conjugacy classes, and its density is $|A|/|A_n|$. For a subset $A$, write…