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Australian AMC 2022 - Intermediate Question 30

AMC AUSTRALIA · Australian AMC 2022 - Intermediate

Question 30

Students sit at their desks in three rows of eight. Felix, the class pet, must be passed to each student exactly once, starting with Alex in one corner and finishing with Bryn in the opposite corner. Each student can pass only to the immediate neighbour left, right, in front or behind. One possible path is shown. How many different paths can Felix take from Alex to Bryn?

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