Thank you for the opportunity to help you with your question!
If Clinton is unbearded,
there is no way he can be the only man not standing next to exactly one unbearded
man. Clinton must be bearded and on the outside.
cannot be handsome as he must stand next to a handsome man who would conversely
be standing next to him. If Barrett is ugly (not handsome), the lineup can be:
U (Barrett) H U H or the reverse H U H U (Barrett). Alternatively, it could be:
H U (Barrett) U U or the reverse U U U (Barrett) H.
combination from steps 1 & 2 that gives a bearded, handsome man is Clinton.
As one man is short, handsome and bearded, Clinton must also be short.
answer is Clinton
Please let me know if you need any clarification. I'm always happy to answer your questions.