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IMAS 2014 — Upper Primary Grades 5–6 — Round 2 Question 10

IMAS · IMAS 2014 — Upper Primary Grades 5–6 — Round 2

Question 10

An ant starts from the top left corner square of a $3\times5$ chessboard. It moves from a square to the adjacent square in the same row or column. After visiting every square exactly once, it ends up at the square in the middle row second column from the right. How many different paths can the ant follow?
Question illustration