New nested list from three lists

Question

I have three lists.

x = {a,b,c,d}
y = {A,B,C}
z = {{1,2,3},{4,5,6},{7,8,9},{10,11,12}}

and I wish to construct the following list out of these three lists

{{a,A,1},{a,B,2},{a,C,3},{b,A,4},{b,B,5},{b,C,6},{c,A,7},{c,B,8},{c,C,9},{d,A,10},{d,B,11},{d,C,12}}

In the above list, every sublist or z is matched to an element in x and every item within a sublist in z is matched with an element in y.

How can I achieve this?

Answer 1

Transpose[{## & @@ Transpose@Tuples[{x, y}], Flatten@z}]
(* {{a, A, 1}, {a, B, 2}, {a, C, 3}, {b, A, 4}, {b, B, 5}, {b, C, 6},
    {c, A, 7}, {c, B, 8}, {c, C, 9}, {d, A, 10}, {d, B, 11}, {d, C, 12}} *)

or

Flatten /@ Thread[{Tuples[{x, y}], Flatten@z}]
(* {{a, A, 1}, {a, B, 2}, {a, C, 3}, {b, A, 4}, {b, B, 5}, {b, C, 6},
    {c, A, 7}, {c, B, 8}, {c, C, 9}, {d, A, 10}, {d, B, 11}, {d, C, 12}} *)

or

MapThread[Append, {Tuples[{x, y}], Flatten[z]}]
(* {{a, A, 1}, {a, B, 2}, {a, C, 3}, {b, A, 4}, {b, B, 5}, {b, C, 6},
    {c, A, 7}, {c, B, 8}, {c, C, 9}, {d, A, 10}, {d, B, 11}, {d, C, 12}} *)

Answer 2

Thread /@ Thread[{x, {y, y, y, y}, z}] // Flatten[#, 1] &

returns

{{a, A, 1}, {a, B, 2}, {a, C, 3}, {b, A, 4}, {b, B, 5}, {b, C, 6}, {c,A, 7},
 {c, B, 8}, {c, C, 9}, {d, A, 10}, {d, B, 11}, {d, C, 12}}

Answer 3

Flatten[Table[{x[[i]], y[[j]], z[[i, j]]}, {i, 1, Length[x]}, {j, 1, Length[y]}], 1]

{{a, A, 1}, {a, B, 2}, {a, C, 3}, {b, A, 4}, {b, B, 5}, {b, C, 6}, {c, A, 7}, {c, B, 8}, {c, C, 9}, {d, A, 10}, {d, B, 11}, {d, C, 12}}

Answer 4

Riffle[Flatten@Outer[List, x, y], Flatten@z, {3, -1, 3}] ~Partition~ 3

{{a, A, 1}, {a, B, 2}, {a, C, 3}, {b, A, 4}, {b, B, 5}, {b, C, 6}, {c, A, 7}, {c, B, 8}, {c, C, 9}, {d, A, 10}, {d, B, 11}, {d, C, 12}}

Answer 5

{Tuples[{x,y}],Flatten[z]}\[Transpose]/.{{x_,y_},r_}:>{x,y,r}