Disclosed is to a polypeptide including a mutated Fc region and having functional activity, mediated by the Fc region, that is modified compared with that of a parent polypeptide. The Fc region includes at least one combination of 2 mutations, the combination being selected from among one mutation selected from among a first set of mutations, and at least one mutation selected from among a second set of mutations, and provided that mutation (i) does not take place on the same amino acid as mutation (ii). Also disclosed are use of the polypeptide, compositions including the same, and methods for preparing the polypeptide.