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IMAS 2023–2024 — Middle Primary — Round 2 Question 10

IMAS · IMAS 2023–2024 — Middle Primary — Round 2

Question 10

Sam listed in ascending order all the four-digit numbers that have the product of their digits equal to 0. The product of the digits of 2024 is $2\times0\times2\times4=0$, so 2024 is a term in Sam’s list. What is the position of the term 2024 in Sam’s list?