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MathNet 2012 Question 95

Math Olympiad Vault · MathNet 2012

Question 95

Dylan has a list of all 25-digit numbers consisting of the digits 1, 2, 3 and 4 such that there are an equal number of 1s and 2s. Robert has a list of all 50-digit numbers consisting of 25 digits 1 and 25 digits 2. Show that the number of numbers on each list is the same.