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Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

Rahid has a large number of cubic building blocks. Each block has sides of length 4 cm, 6 cm or 10 cm. Rahid makes little towers built from three blocks stacked on top of each other. How many different heights of tower can he make?

(A) $6$ (B) $8$ (C) $9$ (D) $12$ (E) $27$

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