Problem of the Week
for the week of March 6, 2006

March Madness

Eight basketball teams reached the quarterfinals of the March Invitational Tournament, in which a single loss means elimination.

The nicknames of these teams are the Armadillos, Badgers, Caribous, Ducks, Elks, Falcons, Gophers, and Hedgehogs. The teams were seeded (ranked) from 1st (highest) through 8th (lowest), then written into the quarterfinal columns on the left end of the table below, next to their ranks (which appear in parentheses).

From the following clues, can you figure out which team was seeded where, and complete the table to determine who won the tournament?
Please send your answers in the form requested below.



Clues

  1. Of the seven games played during the event (four in the quarterfinals, two in the semifinals, and one in the finals), the higher-ranked team won only three times.
  2. The Falcons were one of just two quarterfinal winners who were ranked higher than their opponent.
  3. One finalist was seeded two ranks higher than the other finalist.
  4. The 7th-seeded team was eliminated by the Hedgehogs.
  5. The Ducks reached the finals by defeating teams ranked both lower and higher than themselves.
  6. The Gophers, who were not the 4th seed, ranked just below the Falcons.
  7. The Armadillos played more than one game.
  8. The Badgers were ranked higher than the Caribous but lower than the Elks.


Please send in your answers in a text file in the following order:
 
(1)   _____________________
(8)   _____________________
(5)   _____________________
(4)   _____________________
(3)   _____________________
(6)   _____________________
(7)   _____________________
(2)   _____________________
 
(A)   _____________________
(B)   _____________________
(C)   _____________________
(D)   _____________________
 
(E)   _____________________
(F)   _____________________
 
(G)   _____________________



Send your solution by Friday 4:00 PM to:
David Pleacher


Links:

Handley Problem of the Week Page

Handley Math Home Page