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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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?
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 Imagine that you are designing a taggant that will be in the form of a cube with six layered colors. The bottom two layers will be selected without repetition from the primary colors (blue, yellow, red), and top two layers will be selected without repetition from the secondary colors (green, purple, orange). The two middle layers will be selected without repetition from the six tertiary colors. How many different taggant designs are possible?

3) How many taggant designs are possible in the previous example if you will select the six colors for the layers from the 12 in the color wheel, without repetition, but without the other rules imposed?

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