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Problem of the Month

The Department of Mathematics poses an occasional mathematics problem which will appear on bulletin boards near the Department offices in Drew Science. It will also appear here. Generally, solutions will not require any advanced mathematics. We welcome solutions from students, faculty, staff and strangers who happen to walk or surf by.

The best student solutions will be posted and awared a cash prize of $5, or whatever loose change we have in our pockets, and the winner will have her/his name published in a prestigious location.

Solutions must be, above all, correct but preference will be given to elegant and well-written solutions. Partial solutions are also welcome.

Solutions should be submitted to Professor Guetter in DS 123A or sent to MB 140.

Department of Mathematics Problem
October, 2011

Below is a table of numbers with 5 rows and 5 columns. From the table, choose 5 numbers in such a way that no two numbers come from the same row and no two numbers come from the same column. Find the sum of these 5 numbers. Explain why, no matter how you chose your numbers (within the rules of course) the sum is 38.
78 59 10
67 48 9
91071112
89 61011
45 26 7

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