• 0
Sign in to follow this  
Followers 0

Winning the Science Fair

Question

Posted · Report post

Isaac and Albert were excitedly describing the result of the Third Annual International Science Fair Extravaganza in Sweden. There were three contestants, Louis, Rene, and Johannes. Isaac reported that Louis won the fair, while Rene came in second. Albert, on the other hand, reported that Johannes won the fair, while Louis came in second.
In fact, neither Isaac nor Albert had given a correct report of the results of the science fair. Each of them had given one correct statement and one false statement. What was the actual placing of the three contestants?
0

Share this post


Link to post
Share on other sites

1 answer to this question

  • 0

Posted · Report post

There are eight possible outcomes: call them a b c ... f

a b c d e f

Louis 1 1 2 2 3 3

Rene 2 3 1 3 1 2

Johannes 3 2 3 1 2 1

We need a case in which Isaac and Albert each gave both a true and false statement

a b c d e f

Isaac: L=1 o o x x x x

R=2 o x x x x o

Albert: J=1 x x x o x o

L=2 x x o o x x

Case f works: Johannes placed first; Renee placed second.

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now
Sign in to follow this  
Followers 0

  • Recently Browsing   0 members

    No registered users viewing this page.