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`

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

If ^15 C_(3r):^(15)C_(r+1)=11 :3 , find the value of rdot

If ^15 C_(3r)=^(15)C_(r+3) , then find rdot

If (1+x)^n=C_0+C_1x+C2x2++C_n x^n , n in N ,t h e nC_0-C_1+C_2-+(-1)^(n-1)C_(m-1), is equal to (mltn)

If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70 , find the value of a+b+c

If (x+a) (x+b) (x+c) =x^(3) +14x^(2) +59x + 70 , find the value of (i) a+b+c (ii) (1)/(a) +(1)/(b) +(1)/(C ) ( iii) a^(2) +b^(2) +c^(2) (iv) (a)/(bc) +(b)/( ac) +(c )/( ab)