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Topic: Permutations
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Don Mc

Posts: 3
Registered: 12/6/04
Permutations
Posted: Oct 4, 1999 7:40 PM
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Andy drives an Audi, Buck drives a Buick, Chet drives a Chevy, Doug
drives a Dodge, and Fred drives a Ford. The five men decide to
exchange cars randomly.
Buck announces that he is unable to drive the standard shift Audi.
The men then decide to randomly draw cards to determine who drives
which car provided no one drives his own car and that Buck does not
drive Andy's Audi. What are the chances that each man drives each
car? As best as I can determine, the answer is:

Audi Buick Chevy Dodge Ford

Andy 0 1/4 1/4 1/4 1/4

Buck 0 0 1/3 1/3 1/3

Chet 1/3 1/4 0 5/24 5/24

Doug 1/3 1/4 5/24 0 5/24

Fred 1/3 1/4 5/24 5/24 0

Any help would be appreciated.
Don





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