Найди нод пятизначных чисел записаны цифрами 1,2,3,4,5 без повторения

12345,12354,12453,12543,12534,12435,13245,13254,13452,13542,13524,13425,14235,14253,14352,14325,14523,14532,15234,15243,15324,15342,15432,15423,21345,21354,21453,21543,21534,21435,23145,23154,23451,23541,23514,23415,24135,24153,24351,24315,24513,24531,25134,25143,25314,25341,25431,25413
31245,31254,31452,31425,31542,31524,32145,32154,32451,32415,32514,32541,34125,34152,34251,34215,34512,34521,35124,35142,35214,35241,35412,35421,41235,41253,41325,41352,41523,41532,42135,42153,42315,42351,42531,42513,43125,43152,43215,43251,43512,43521,45123,45132,45231,45213,45321,45312,51234,51243,51324,51342,51423,51432,52134,52143,52314,52341,52431,52413,53124,53142,53214,53241,53421,53412,54123,54132,54213,54231,54312,54321