" If "(1+x)^(15)=C_(0)+C_(1)x+C_(2)x^(2)+...+C_(15)x^(15)," then "C_(2)+2C_(3)+3C_(1)+...+14C_(15)" is equal to "

If (1+x)^(15)=C_(0)+C_(1)x+C_(2)x^(2)++C_(15)x^(15) then find the value of C_(2)+2C_(3)+3C_(4)++14C_(15)

If (1+x)^(15)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(15)x^(15) and (k=C_(2)+2C_(3)+3C_(4)+ . . .+14C_(15)) then the value of (k-993)/(1000) is equal to______

If (1+x)^(15)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(15)x^(15) and (k=C_(2)+2C_(3)+3C_(4)+ . . .+14C_(15)) then the value of (k-993)/(1000) is equal to______

If (1+x)^(n) = C_(0)+C_(1).x+C_(2). x^(2)+..+C_(n). x^(n) then C_(0)+2. C_(1)+3. C_(2)+..+(n+1). C_(n) =

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+ . . .+C_(n)x^(n) , then the value of : C_(1)+2C_(2)+3C_(3)+ . . .+nC_(n) is:

(1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n) then C_(0)C_(2)+C_(1)C_(3)+C_(2)C_(4)+…..+C_(n-2)C_(n) is equal to :

(1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n) then C_(0)C_(2)+C_(1)C_(3)+C_(2)C_(4)+…..+C_(n-2)C_(n) is equal to :

If (1+x)^(15)=C_(0)+C_(1)x+C_(2)x^(2)+....+C_(15^(x^(15))) , then find the sum of 2 C_(2)+2.3 C_(3)+3.4 C_(4)+….+14.15 C_(15)

If (1+x)^(15)=C_0+C_1x+C_2x^2++C_(15)x^(15), then find the value of C_2+2C_3+3C_4++14 C_(15)dot