 For example, when "n" = 4 and "k" = 2, the group orbits are

and

One can show that evaluating the "q"-binomial coefficient when "q" is an "n"th root of unity gives the number of subsets fixed by the corresponding group element.In the example "n" = 4 and "k" = 2, the "q"-binomial coefficient is

evaluating this polynomial at "q" = 1 gives 6 (as all six subsets are fixed by the identity element of the group); evaluating it at "q" = −1 gives 2 (the subsets {1, 3} and {2, 4} are fixed by two applications of the group generator); and evaluating it at "q" = ±"i" gives 0 (no subsets are fixed by one or three applications of the group generator).In the Reiner–Stanton–White paper, the following example is given