There are 10 types of people:

1. those who understand ternary
2. those who don't,
3. and those who thought that this joke was about binary
4. … and those who thought this quaternary joke was a ternary joke.
5. … and those who thought this quinary joke was a quaternary joke.

• … and those who thought this (n+1)-base joke was a p-base joke (p,n ∈ ℕ; 2≤p≤n).