I like the twist that means you need to take a little care - you
need to worry about detail.
Although it uses factorial notation, this is only a very minor
part of the problem- basically it means you can make your point
succinctly - that is what mathematical notation is all about.
Possible extension.
My additional question also points out that an apparently closed
problem can be easily opened up, with further questions to be
asked.
This problem is a special case of
Factorial Fun.
Possible support
See also
Powerful Factorial and
Factoring Factorials which are also special cases.