  We define an excedance number for the multi-colored permutation group, i.e.
the wreath product of Z_{r_1} x ... x Z_{r_k} with S_n, and calculate its
multi-distribution with some natural parameters.
  We also compute the multi-distribution of the parameters exc(pi) and fix(pi)
over the sets of involutions in the multi-colored permutation group. Using
this, we count the number of involutions in this group having a fixed number of
excedances and absolute fixed points.
