please help me with my logic problem

Algebra
Tutor: None Selected Time limit: 1 Day

Jul 16th, 2015

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.

Step 2:
Barrett 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.

The only 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.

The answer is Clinton


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

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