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IMAS 2024–2025 — Upper Primary — Round 2 Question 13

IMAS · IMAS 2024–2025 — Upper Primary — Round 2

Question 13

If a positive integer, composed of at least three digits, has all its digits written in strictly decreasing order from left to right, then this positive integer is called a good integer. For example, 876 and 97531 are both good integers, while each of 87, 5331 and 97513 are not. How many good integers are there in total?