The Poker Man's Dilemma
Eight
men are playing poker: Larry, Gary, Barry, Darry, Harry, Jerry, Perry, and
Freddy. They are seated in a circle, facing inward.
Two
of the men have excellent poker faces that can trick anyone except each
other.
Four
of the men have moderate poker faces that can trick one distinct person
each, but can't trick the rest.
Two
of the men have very bad poker faces that can't trick anyone.
·
Gary can trick Larry.
·
Larry sits next to someone with an excellent poker face.
·
Jerry can only trick Perry.
·
Perry sits left of someone with a bad poker face and sits right of
someone with an excellent poker face.
·
Freddy can trick Jerry and Perry.
·
Freddy is in between two men both with moderate poker faces.
·
There are 3 men in between the two men with excellent poker faces.
·
Darry is only tricked by two men.
·
Jerry sits between two men with moderate poker faces.
·
Barry sits next to Larry.
·
Perry tricks Larry with his poker face.
·
The two men with bad poker faces sit next to each other.
·
Harry sits next to Freddy.
·
The two men with excellent poker faces cannot trick each other.
·
Freddy only has one man whom he cannot trick.
·
Darry can trick one of two people who he sits next to.
·
Three of the men with moderate poker faces all sit in the same area without
anyone else in between.
·
Harry can trick Jerry.
·
Larry sits next to Gary.
·
Perry sits two away from Larry.
·
Perry has a moderate poker face.
·
Barry can fool no one.
Gary
is suspicious of the people next to him, both left and right.
Can
Gary trust the poker faces of the two people next to him and not be tricked? And
why?
Note:
The two men who have excellent poker faces CAN be tricked by anyone. Also, if
the hints above say that A can trick B, this can also mean that A can trick B,
C, and D, and not only B. If the hint says that A can trick ONLY B, this means
that A cannot trick anyone other than B.
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