排列组合二项式定理填空题题（ questions of filling and filling in the binomial theorem）

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1、排列组合二项式定理填空题40题（40questionsoffillingandfillinginthebinomialtheorem）Themostchallengingchallengeistoimproveyourself.MichaelFStaley40questionsoffillingandfillinginthebinomialtheorem1,known,x=____John2,thecoefficientsintheexpansionis____(thenumericalrepresentation).These3known(1+x)nexpansioncoef

2、ficientsoftwoitemsinanadjacenttypeis8:15,theminimumvalueofnis____.In4,hanlinhui(2x)expansionin5,thecoefficientofX5is____HighlyIn5,+an-1(1+x)n=1+a1x+a2x2+...Xn-1+anxn,if2a4=3an-6,thennvalueis____.6,15(1+x)hanlinhuiexpansionforthe_____________withx2type.Hanlinhui,7(1+x)+(1+x)+(1+x)+...+(1+x)ex

3、pansioncoefficientsinandis.If2000,8ispositiveintegern=____________.These9,7peoplesittinginarowinordernotphotography,aBCthreechangeandnotadjacenttoatotalof________area.John,10,amathteacherandfourstudentswinningarowiftheteacherdoesnotrowofpictures,atbothends,ishowmanydifferentways____________.

4、John11,fromany6setsand5setsoftheoriginalcomputercomputerassemblyselected5units,ofwhichatleast2setsofeachoriginalandassemblingcomputer,choosedifferentmethodshave____________.Hanlinhui12,setM={a,B,c},N={a1,B1,c1},MtothenumberofmappingonNfor________.These13sets,{11,7,0,1,2,3,5}fromeachtake3dist

5、inctelementsasastraightlineinAx+By+C=0,B,CletterA,thelinearslopeislessthanzerototal________.The14,known,m=____________.Thenumberofallsubsetsofasetof15highly,containing10elementsofS,thenumberofsubsetsof3elementsisT,thevalueof________.Hanlinhui(ax+1)in16,7intheexpansion,theX3coefficientisthear

6、ithmeticmeancoefficientandX4coefficientofX2,ifthereala>1,thena=____________.17,theimperialexpansioncoefficientX2is________..Hanlinhui,if18(1+2x)6twoinsecondthanitwasadjacenttothescopeofXis________.Hanlinhui,19(11Ab)binomialexpansioncoefficientminimumfor____________.Hanlinhui20,expansioncoeff

7、icientandgreaterthan8andlessthan32,whilethelargestcoefficientis________.Hanlinhui,21(X1)-(X1)2+(X1)3(X1)4+(X1)expansionin5,theX2coefficientisequalto________.Hanlinhuiin22,(x+m)7(m,N)oftheexpansion,theX5coefficientisthearithmeticmeancoefficientandX4