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.
## 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.

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.

October, 2011

7 | 8 | 5 | 9 | 10 |

6 | 7 | 4 | 8 | 9 |

9 | 10 | 7 | 11 | 12 |

8 | 9 | 6 | 10 | 11 |

4 | 5 | 2 | 6 | 7 |