March 11, 2002
Problem of the Month

A Digital Problem



In the ten cells of the diagram below, write a ten-digit number such that the digit in the first cell indicates the total number of zeroes in the entire number, the digit in the cell marked "1" indicates the total number of ones in the entire number, and so forth to the last cell, whose digit indicates the total number of nines in the number (Zero is a digit, of course, and may be entered in the cells). The answer is unique.

    0         1         2         3         4         5         6         7         8         9    
   
    		                                   




Solution to the Problem:

    0         1         2         3         4         5         6         7         8         9    
   
    6     		   
    2     		   
    1     		   
    0     		   
    0     		   
    0     		   
    1     		   
    0     		   
    0     		   
    0    




Correctly solved by:

1. Richard K. Johnson La Jolla, California
2. Griffin ----------
3. Christopher March Virginia Tech, Blacksburg, Virginia
4. Nick von Keller Winchester, Virginia
5. ---------- United Kingdom
6. Rick Jones Kennett Square, Pennsylvania
7. David Powell Winchester, Virginia
8. Bahareh Joukar Winchester, Virginia
9. Rich Murray Ridgetown, Ontario, Canada
10. James Alarie University of Michigan -- Flint, Michigan
11. John Beasley Winchester, Virginia
12. Laurence O'Neill Winchester, Virginia
13. Keith Mealy Cincinnati, Ohio
14. Walt Arrison Philadelphia, Pennsylvania
15. James Shuster Rockford, Michigan
16. Jessica Gates Rockford, Michigan
17. Nicki Bohnsack Rockford, Michigan


Send any comments or questions to: David Pleacher