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3 votes

Tuples of digits with a given number of distinct elements

False] Usage: Table[Select[Range[10^(k - 1), 10^k - 1], validQ[#, k] &], {k, 2, 4}] This will suffer from memory allocation failure at k=10 but you can rephrase your problem so this generation of tuples … Each of these tuples represents an integer and there is no need to ever store integers. …
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4 votes

Working with tables: add new level of nested tables

One possible implementation could be: getCombinations[n_Integer] := Module[{t}, t = Select[Tuples[Range[n, 0, -1], {n}], Total@# == n &]; Map[Times @@ Power[ToExpression /@Alphabet[][[1 ;; n]], #] … ^3 d,b^2 c^2,b^2 c d,b^2 d^2,b c^3,b c^2 d,b c d^2,b d^3,c^4,c^3 d,c^2 d^2,c d^3,d^4\right\}$$ EDIT To make it more general: getCombinationsFromFactors[n_Integer, k_List] := Module[{t}, t = Select[Tuples
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