Cube Root of Rubik's Cube

Level 2

What is the cube root of the digit sum of the number of possible ways a 2 × 2 × 2 2 \times 2 \times 2 Rubik's Cube can be arranged?


The answer is 3.

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1 solution

Finn Hulse
Jan 26, 2014

8! times 3 to the seventh divided by 24. This produces 3,674,160; the digit sum of which is 27, and the cube root of that is 3.

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