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UKMT Junior Mathematical Olympiad, 2015

Combinatorics Difficulty 2.0 Junior Prove it United Kingdom

Jack starts in the small square shown shaded on the grid, and makes a sequence of moves. Each move is to a neighbouring small square, where two small squares are neighbouring if they have an edge in common. He may visit a square more than once. Jack makes four moves. In how many different small squares could Jack finish?

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