Permutations of ABCDEF where A is before D

I am trying to get started writing the code for finding the permutations of ABCDEF where A comes before D. I would appreciate any help on getting started with this project.

generate all the permutations of BCDEF
prepend them all with Aor, for fun:
for every permutation of ABCEF, insert a D at all indeces after the A.
and for some more fun, use recursion.

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