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    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?

    Question #35911. Asked by RND.

    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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