I'll give you a better one. On a 64 bit Windows:

- the 64 bit binaries are stored in C:\Windows\System32

- the 32 bit binaries are stored in C:\Windows\SysWOW64

Haha, I think WOW64 means "Windows [32] on Windows 64" which kind of makes sense if you squint at it just right...

That's a bingo.