The number of elements of order $n$ in a finite cyclic group of order $N$ is $0$ unless $n|N$, in which case it is $N/n$.
Is "the number of elements of order $n$" referring to the number of elements of the subgroup that is of order $n$?
The number of elements of order $n$ in a finite cyclic group of order $N$ is $0$ unless $n|N$, in which case it is $N/n$.
Is "the number of elements of order $n$" referring to the number of elements of the subgroup that is of order $n$?