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UKMT Intermediate Mathematical Challenge, 2015

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

An ant is on the square marked with a black dot. The ant moves across an edge from one square to an adjacent square four times and then stops. How many of the possible finishing squares are black?

(A) $0$ (B) $2$ (C) $4$ (D) $6$ (E) $8$

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