The French tricolor flag is made up of three vertical stripes: red, white, and blue. Suppose you are given four different colors of fabric and asked to create a different flag using the same tricolor design. If no two adjacent stripes can be the same color, how many different combinations of color patterns are there?

Roget

24 Jul 05 03, 4:22 PM

RND	Roget is correct - it would be cool if he would explain how he got that number... Jul 05 03, 4:26 PM

Roget

It is factorial 4, which is 4x3x2x1=24. Another way is to think of the four colours, 1, 2, 3 and 4. If the left hand colour is 1 the possible combinations are 123, 124, 132, 134, 143 and 142. That's six possible combinations with 1 as the first colour. For each first colour there are 6 combinations, so 6x4=24. Jul 05 03, 4:32 PM

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