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AMO 2017 — Primary 6 (Grade 6) Question 24

AMO · AMO 2017 — Primary 6 (Grade 6)

Question 24

How many different bricks can be formed when the eighty $1 × 1 × 1$ cubes are glued together? [Consider two bricks to be “different” when one brick cannot be rotated or flipped to exactly coincide with another brick. Therefore, a $2 × 4 × 10$ brick and a $4 × 10 × 2$ brick are not “different”.]