What type of problem is finding the number of "alterations" on a vector whose components take values from a known set?
E.g.
$(x_0,x_1,x_2)$
$x_i \in \{0,1 \}$
Find all possible three-vectors.
Particularly, how should one "deal" with such vector problems? Should one e.g. list them as $x_0 x_1 x_2$ or something else, dismissing the indices?