Add them all up:

483 (clean shaven)

85 (moustache, and possibly a beard)

49 (beard, and possible a moustache)

-----

617

But this is more than the 600 that were surveyed. Subtract that to find that there must have been 17 men that were in the overlap of having both a beard and a moustache.

617

-600

------

.. 17 <-- both

Answer:

17

Men who were not clean shaven = 600 - 483 = 117 men

Men with mustache plus men with beard = 85 + 49 = 134 men

134 - 117 = 17 men with both mustache and beard

Provided, of course, the numbers aren't skewed by any men with muttonchop sideburns.

If you multiply the radius by the infraction point, the answer yields 14.5