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IMSO 2025 Mathematics – International Essay Question 2

IMSO Maths · IMSO 2025 Mathematics – International Essay

Question 2

Ahmad wishes to open a door secured by a four-digit code corresponding to the word IMSO.

Question illustration

Each letter is assigned a digit subject to the following conditions:

(1) The letters I and O must be odd.

(2) The letters M and S must be even.

(3) All four digits must be distinct.

In how many ways can Ahmad enter the code?