Imagine that you are designing a taggant (a microscopic particle or molecular solution that can be inserted into a product to identify it as authentic) that will bebin the form of a cube with 7 layered colors. The bottom 2 layers will be selected without repetition from the primary colors (blue,yellow, red) and the 2 top layers will be selected without repetition from the secondary colors (green,purple,orange). The 3 middle layers will be selected without repetition from the six tertiary colors. How many different taggant designs are possible?

Q: 3 dimensions (2,3,1)

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Q: 19.

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