0910.4: Winter Break


 Hamilton College has a secret code for unlocking winter break.  All you have to do is find a nine-digit number which uses all the numbers from one to nine, such that the whole number is divisible by nine, the leftmost eight digits are divisible by eight, the leftmost seven digits are divisible by seven, etc.  (Plus finish your semester’s work.)  Extra credit will be awarded for determining how many such numbers there are.

 

Rules


Solutions to Puzzle #4: Winter Break may be sent to puzzle@hamilton.edu, or, via campus mail, to Russell Marcus, Philosophy Department. Make sure to include your contact information with your solution.  A winner will be chosen among those who submit numbers which satisfy the above constraints and who answer the extra credit problem.  If no one gets the extra credit, a winner will be chosen among those who submit one satisfactory number.  Any one may play the puzzle, but only current Hamilton College students may win prizes. If the winner of the puzzle is not a Hamilton College student, a secondary winner may be chosen.


Prizes

 

Prize winners receive a t-shirt or mug from Lulasail, home of the best philosophy t-shirts on the web.


The Deadline for Puzzle #4 is Monday, December 7 at 4pm. All entries must be received by that time.