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IMAS 2016/2017 Junior Division Round 2 Question 9

IMAS · IMAS 2016/2017 Junior Division Round 2

Question 9

The diagram below is composed of many right angled isosceles triangles. Suppose an ant wants to travel from point A to point C, in how many ways can this be done if the ant is only allowed to move up, right or diagonally?

Question illustration