Can you help Wayne and Garth fill in the Top Ten Colleges on their chart using the clues below?
CLUES:
(1) The colleges making their list are (in alphabetical order):
Auburn University, Baylor University, Clemson University, Dartmouth College, Earlham College,
Furman University, George Mason University, Hartwick College, Indiana University, and James Madison University.
(2) Earlham was ranked one space above Dartmouth.
(3) Auburn was two spaces above Baylor.
(4) Clemson was three spaces above George Mason.
(5) Indiana was four spaces above Furman.
(6) James Madison was five spaces above Hartwick.
(7) George Mason was four spaces above Earlham.
Solution to the Problem:
The ranking of the colleges from top to bottom:
(1) Clemson University
(2) James Madison University
(3) Auburn University
(4) George Mason University
(5) Baylor University
(6) Indiana University
(7) Hartwick College
(8) Earlham College
(9) Dartmouth College
(10) Furman University
From clues 3, 6, and 1, the following sequence of nine places can be deduced:
C _ _ G _ _ _ E, D, with C either first or second and D ninth or tenth.
If the sequence A _ B (from clue 2) were added to the front (making A C B _ G _ H E D), the
sequence J _ _ _ _ H would not fit.
So, A _ B can only be added as follows:
C _ A G B _ _ E D.
Now, there is only one way to add J _ _ _ _ H, making C J A G B _ H E D.
Finally, the sequence I _ _ _ F (from clue 4) has only one possible fit, making
C J A G B I H E D F.