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Problem of the Fortnight (17 April edition; due Friday 27 April 2018; email to ahiggins1@udayton.edu)

1. There are three wooden barrels. One of the barrels holds only apples. One of the barrels has only oranges in it. The remaining barrel has both apples and oranges in it. Each barrel has a wooden lid, which is labeled with “Apples” or “Oranges” or “Apples/Oranges,” but NONE of the lids correctly describes the contents of the barrel that it covers!

Can you decide what fruit each barrel contains if you are permitted to reach into exactly one barrel and pull out exactly one piece of fruit (no peeking inside the barrel)? If so, describe carefully how this process tells you the contents of each barrel and if not, explain why this process will not work to determine what is in each barrel.

2. April is National Poetry Month. We invite you to create a (family-friendly) poem with some mathematics in it and send it to ahiggins1@udayton.edu by Friday, April 27.