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MathNet 2011 Question 17

Math Olympiad Vault · MathNet 2011

Question 17

There are 4 cards and on each one a positive 1-digit integer is written. By choosing 2 different cards from the 4 and writing down the sum of the 2 numbers written on the chosen cards, we can get 4 distinct integers. Also by choosing 2 distinct cards and writing down the product of the 2 numbers written on the chosen cards, we can get 3 distinct integers. Determine all possible combinations of the numbers written on the 4 given cards.