Hexagony
Level
pending
There are n ways to paint the 8 faces of a hexagonal prism with 8 different colors, each only used once. Find the last 3 digits of n.
The answer is 360.
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1 solution
We choose the colors for the end faces in 8C2 ways....and the colors in the body will be a circular permutation of 6 color.....Therefore the total number of possible colorings = 5! * 8C2 = 3360...The last 3 digits = 360