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Australian AMC 2023 - Middle Primary Question 26

AMC AUSTRALIA · Australian AMC 2023 - Middle Primary

Question 26

To unlock a security door, Daniyal enters a code on the keypad shown. To make it easy to remember:
- the code has 10 digits;
- the code uses every digit exactly once;
- the code steps from button to button only if the two buttons touch;
- the code is as large as possible.
What are the last 3 digits in Daniyal’s code?

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