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UKMT Junior Mathematical Challenge, 2021

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Each of the shapes shown has been made from four unit cubes. For each shape, Max takes eight copies of the shape and tries to fit them together to make a $2 \times 4 \times 4$ cuboid. How many of the shapes can be used to make a cuboid of this size in this way?

(A) $0$ (B) $1$ (C) $2$ (D) $3$ (E) $4$

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