Sorry.Imadeamistake.ICANNOTsayyourmethodiswrong.所以为C4,1*C3*1*C2,1 * C5,1*C4,1*C3,1*C2,1 * A7*7但不等于100800..ifyouwanttokeepyourfirsttwosteps:但是先头我是这么想的,从4个偶数中取3个偶数,那就为C4,1*C3*1*C2,1从5个奇数中去4个奇数,那就为C5,1*C4,1*C3,1*C2,1thenyouhavealreadyorderedyour3个偶数andorderedyour4个奇数,soyouMUSTCHANGEyourthirdstep将7个数排列为A7*7to"选THREEPOSITIONSOF七位数FORYOUR3个偶数.THISHAVEC7,3cases"Afteryouchoosed3positions,youfillyour3个ORDERED偶数intothepositionsFROMLEFTTORIGHTonebyoneaccordingtoTHEORDERESandfillyour4个ODERED奇数intotheremainingpositionsFROMLEFTTORIGHTonebyoneACCORDINGTOTHEIRORDERS.So,thethirdstepyouhaveC7,3choices.So,answerisC4,1*C3,1*C2,1*C5,1*C4,1*C3,1*C2,1*C7,3=100800.(writingasA4,3*A5,4*C7,3isbetterbecauseyouconsiderorderinginyourfirsttwosteps)Donotgiveup.Therearemanywaystodothiskindofquestions.Forthesecondproblem:Now,yourmethodisevenbetter.从1,2,3,4,5,6,7中选2个奇数,keeporder(first奇数,second奇数),A4,2(3,5isnot5,3now)从1,2,3,4,5,6,7中选2个偶数,keeporder(first偶数,seond偶数),A3,2Nowyouchoosetwopositionsof四位数foryour2个奇数.YourSECOND奇数mustbe个位数,andyourFIRST奇数have3positions(十位,百位,千位)tochoose;C3,1.Afteryoufinishtofillinyour奇数,youfillyour偶数intotheremainingpositionsINORDER.(fromlefttoright,youfillinyourFIRST偶数,yourSECOND偶数).SotherearetotalC3,1choices.So,answer=A4,2*A3,2*C3,1