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AMO 2027 Grades 8-9 SET 8 - Self-study Question 7

AMO · AMO 2027 Grades 8-9 SET 8 - Self-study

Question 7

In a peak integer, the digits increase to a peak digit and then decrease. This peak is not the first or last digit. For example, 256850 is a peak integer and its peak digit is 8; 3456219 and 278864 are not peak integers. How many different 4-digit peak integers have a peak digit of 7?