Flush
Join Date: Apr 2004
Posts: 312
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So, if you didn't have to use all three colors, I think the answer is 243.
You've got three choices for each panel. Since order matters, these are independent choices, ie you've got three choices for panel 1, then for each color you pick for panel 1, you've got three choices for panel 2, or nine different combinations for two panels, then for each one of these you've got three choices for panel 3, etc. etc. etc. Thats 3X3X3X3X3 = 3^5 = 243
Then, you have to figure out how many 2 color and one color combinations there are. There are 3 one color combinations. That means we're down to 240.
Using the same reasoning above, I'd guess there are 2^5 = 32 two color comos. So my new, and final guess is 208.
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