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IMSO 2025 Mathematics – International Essay Question 7

IMSO Maths · IMSO 2025 Mathematics – International Essay

Question 7

Let $I,M,S$ and $O$ be digits that are not necessarily different that satisfies
$$\overline{IMSO}=\frac74\times\overline{OSMI}.$$
How many possible four-digit numbers $\overline{IMSO}$ are there?