OPM 1996 Problem 3
- Final day 1
A box contains cards numbered from to . Paulo randomly takes a certain number of cards from the box and calculates, for each card, the sum of the digits written on it. How many cards does Paulo need to take out of the box to be sure of finding at least three cards whose digit sums are the same?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 1996 official paper, page 1.
Solutions
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