" 15.The value of "lambda" if "sum_(m=97)^(100)+oo'C_(m)*mC_(42)=lambda" ,"8C" ot is "

The value of lambda if sum_(m=97)^(100)100C_(m)*mC_(97)=2^(lambda)*100C_(97), is :

the value of lambda if sum^(100)C_(m)*^(m)C_(97)=2^(lambda)*^(100)C_(97)

Find the value of sum_(p=1)^(n)(sum_(m=p)^(n)C_(m)^(m)C_(p)) And hence,find the value of lim_(n rarr oo)(1)/(3^(n))sum_(p=1)^(n)(sum_(m=p)^(n)C_(m)^(m)C_(p))

At 26^(@)C, Lambda_(m)^(@)(NH_(4)Cl)="129.8 ohm"^(-1)."cm"^(2)."mol"^(-1) and Lambda_(m)^(@)(NaCl)="126.5 ohm"^(-1)."cm"^(2)."mol"^(-1) . Apart from the values of Lambda_(m)^(@)(NH_(4)Cl) and Lambda_(m)^(@)(NaCl) , which of the following quantities should be known, to determine the value of Lambda_(m)^(@)(NH_(4)OH)-

Find the value of lambda . If the points A(-1,3,2), B(-4,2,-2) and C(5,lambda,10) are collinear.

Find the value of lambda . If the points A(-1,3,2), B(-4,2,-2) and C(5,lambda,10) are collinear.

Show that sum_(k=m)^n ^kC_r=^(n+1)C_(r+1)-^mC_(r+1)

Show that sum_(k=m)^n ^kC_r=^(n+1)C_(r+1)-^mC_(r+1)

Find the set of values of lambda in R such that tan^(2) theta + sec theta = lambda holds for some theta . a. (-oo, 1] b. (-oo, -1] c. phi d. [1, oo)