<p> cube is constructed from <img alt="$4$" height="12" src="https://latex.artofproblemsolving.com/c/7/c/c7cab1a05e1e0c1d51a6a219d96577a16b7abf9d.png" width="9" /> white unit cubes and <img alt="$4$" height="12" src="https://latex.artofproblemsolving.com/c/7/c/c7cab1a05e1e0c1d51a6a219d96577a16b7abf9d.png" width="9" /> blue unit cubes. How many different ways are there to construct the <img alt="$2 \times 2 \times 2$" height="12" src="https://latex.artofproblemsolving.com/8/7/f/87f21b2699a770eb2d5b5788cd7cb7598f169ee4.png" width="71" /> cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)</p>

Question No: 435

cube is constructed from $4$ white unit cubes and $4$ blue unit cubes. How many different ways are there to construct the $2 \times 2 \times 2$ cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)

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Tags: Combinatorics

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