(C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)+......+(C_(10))/(11)=

(11C_(0))/(1)+(11C_(1))/(2)+(11C_(2))/(3)+......+(11C_(10))/(11)=

(C_(0))/(2)+(C_(1))/(3)+(C_(2))/(4)+...+(C_(8))/(10)

(C_(0))/(1)-(C_(1))/(2)+(C_(2))/(3)+.. . .+((-1)^(n))/(n+1). C_(n) =

(.1^(11)C_(0))/(1)+(.^(11)C_(1))/(2)+(.^(11)C_(2))/(3)+....+(.1^(11)C_(10))/(11)

If (^(10)C_(0))/1+(^(10)C_(1))/2+(^(10)C_(2))/3+.....+(^(10)C_(10))/(11)=(2^(P)-1)/(q) then the value of (p)/(2q) is

The value of ((C_(1))/(C_(0))+2(C_(2))/(C_(1))+3(C_(3))/(C_(2))+"......"+10(C_(10))/(C_(9))) (where C_(r) = .^(10)C_(r) ), is 11lambda , then value of lambda is

The value of ((C_(1))/(C_(0))+2(C_(2))/(C_(1))+3(C_(3))/(C_(2))+"......"+10(C_(10))/(C_(9))) (where C_(r) = .^(10)C_(r) ), is 11lambda , then value of lambda is

^10(C_(0))^(2)-^(10)(C_(1))^(2)+^(10)(C_(2))^(2)-......-(^(10)C_(9))^(2)+(^(10)C_(10))^(2)=

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+.....+C_(n)x^(n) then show : (C_(1))/(C_(0))+(2C_(2))/(C_(1))+(3C_(3))/(C_(2))+....+(nC_(n))/(C_(n-1))=(n(n-1))/(2)

If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + C_(3) x^(3) + … + C_(n) x^(n) , prove that C_(0) - (C_(1))/(2) + (C_(2))/(3) -…+ (-1)^(n) (C_(n))/(n+1) = (1)/(n+1) .