1 green, 2 blue, and 3 reds

Probability Level 2

How many distinct ways can a cube have 1 green face\color{#20A900} \text{1 green face}, 2 blue faces\color{#3D99F6} \text{2 blue faces} and 3 red faces\color{#D61F06} \text{3 red faces}?

Note: Two ways are only distinct if one cube can't be rotated to look like the other.

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