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What is the best way of looping through an array, ending up organizing it in all possible ways it can be organized in?

Suppose we have an array:

{a, b, c, d}

What I would like to do with this is organize it like so:

{b, a, c, d}
{b, d, c, a}

And so forth, looping around creating one array to analyze per looping.

Thank you,

D. Ataro
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