Such colours

Probability Level 5

21,31,41,51,61,71,81\color{#D61F06}{21}, \color{#3D99F6}{31},\color{#20A900}{41},\color{#69047E}{51},\color{grey}{61},\color{#EC7300}{71}, \color{#302B94}{81}

In how many ways can one arrange the numbers above such that the sum of every four consecutive numbers is divisible by 3\color{#624F41}{3}?

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