Count of All Permutations on n Objects/Examples/Even Integers from 1, 2, 3, 4

Example of Count of All Permutations on $n$ Objects
Let $N$ be the number of even integers which can be made using one or more of the digits $1$, $2$, $3$ and $4$ no more than once each.

Then:
 * $N = 32$

Proof
From Count of All Permutations on $n$ Objects, the total number of integers which can be made using the digits $1$, $2$, $3$ and $4$ is given by:

By symmetry, exactly half of these integers end in $2$ or $4$.

The others end in $1$ or $3$.

Hence:
 * $N = \dfrac {64} 2 = 32$