Suppose that a surgeon wears
gloves every time he operates to protect himself and his patients.
When a pair is worn the surfaces that were in contact with the
patient are contaminated while the
surfaces against the surgeon's
hands are still usable. Is it possible for the surgeon to
operate on 3
people if he only has two pair of gloves? If so,
how? If not, why not? A second question is to
determine the
maximum number of people that can be operated on with 5 pairs of
gloves.
Your solution to this puzzle should include not only how
many, but also why that is the most and
how the operations should
be carried out.