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Australian AMC 2019 - Intermediate Question 30

AMC AUSTRALIA · Australian AMC 2019 - Intermediate

Question 30

Antony the ant is at the top-left corner of this brick wall and needs to get to the bottom-right corner.
Because it is a hot day, he avoids the dark bricks and only walks on the cooler white mortar between the bricks and at the top and bottom of the wall.
There are 18 rows of bricks, each with 7 whole bricks and one half-brick in an alternating pattern.
How many different ways are there for Antony to walk to the opposite corner as quickly as possible?

Question illustration