Question 1090273: You've been given the task of painting a white flag. The flag has three sections and you have three different colours of paints. No two adjacent sections can be the same colour, you can't alter the flag's design in any way (folding it for example), you can't change the size of the sections, and each of the three sections can only be one colour (you can't take a section, colour half of it one colour and the other half a different colour). To make things more complicated, you're not allowed to mix paints. Knowing all this, how many different flag designs can you make?
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website! .
Choose any of the 3 colors for the first section.
Choose any of remaining 2 colors for the second section.
Use the only remained color for the third section.
In all, you have 3! = 3*2*1 possible designs.
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