Step 3: Cross-multiply to find a relationship between n and rCross-multiplying gives:3(n−r)=2nExpanding and rearranging:3n−3r=2n⟹n=3r(Equation 1) Step 4: Simplify the second ratioNow, simplify the second ratio:nCr(n+1)Cr=n!r!(n−r)!⋅r!(n+1−r)!(n+1)!=n!(n...
If Cr stands for nCr, then the sum of the series 2(n2)!(n2)!n![C20−2C21+3C22−...+(−1)n(n+1)C2n], where n is an even positive integers, is: View Solution If (1+x)n=C0+C1x+C2x2+……….+Cnxn , prove that : C0+2C1+…..+2nCn=3n View Solution If (1...
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& Mlcrowave Measurement Symposlum ancl txhlbltlon ftE'HF$|IfJJ o O o o I N T R OD U C T I O N Measuring and specifying phase noise has becomeinereasingly important as phase noiseis the limiting facior in many RF and microwave systems,like Doppler radar and spacetelemetry sy.te-....