On a certain game show, five families were asked to match famous names to faces they were shown, and each correct guess got one point. The families made the following guesses (in order):

The Addams' guessed Otto, Roebling, Steinmetz, Tesla, and Westinghouse.
The Bunkers guessed Tesla, Westinghouse, Otto, Steinmetz, and Roebling.
The Cunninghams guessed Roebling, Tesla, Steinmetz, Westinghouse, and Otto.
The Flintstones guessed Tesla, Roebling, Otto, Steinmetz, and Westinghouse.
The Jetsons guessed Tesla, Westinghouse, Steinmetz, Otto, and Roebling.

No two families got the same number of points. Which family walked home with the grand prize?

Personally, I don't feel as if I've solved a problem until I discovered the 'best' way to arrive at a solution.

Since there are 5 families, each of which has a different score, and 6 possible scores, [0/1/2/3/4/5], at least one family scored 5 or 4 points. Furthermore, it is not possible to score only 4 points as the both the 5th name and face must to each other correspond. This leave us with 5 possible solutions

Posted by Charley on 2005-05-12 13:21:46