[Every Monday for the next few months, we'll be posting a short video clip here at You Do the Math. All will have at least a tenuous connection to science, technology, engineering, or mathematics. Teachers can use these as writing prompts or as starting points for larger lesson plans (I'll try to include some hints now and then), but the main purpose is simply to have a little fun.]
I have heard that Copperfield commissioned Max Maven to create illusions for him. This might be an example.
As a class activity, I would suggest running through all the permutations to show how your first choice doesn't matter.