UNO High School Problem of the Week Competition

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Problem 13



You are blindfolded and seated in front of a table with a large number of pennies resting on it. Exactly 50 pennies are heads up, the rest have tails showing. How can you divide all the pennies on the table into two groups such that each group has the exact same number of pennies heads up?

Note: There must be at least one penny in each of the two groups (no empty groups allowed!). Also, pennies may be moved around, turned over, or anything you feel is necessary to complete the problem, but no penny can leave the table.

Solution