Find the coefficient of x in polynomial `(x + ``"^(2n+1)C_0) (x +``"^( 2n+1)C_1).......(x + ``"^(2n+1)C_n)`.

Find the coefficient of x^n in the polynomial (x+^n C_0)(x+3^n C_1)xx(x+5^n C_2)[x+(2n+1)^n C_n]dot

Find the coefficient of x^n in the polynomial (x+^n C_0)(x+3^n C_1)xx(x+5^n C_2)[x+(2n+1)^n C_n]dot

Find the coefficient of x^n in the polynomial (x+^n C_0)(x+3^n C_1)xx(x+5^n C_2)[x+(2n+1)^n C_n]dot

The coefficient of x^(n) in the polynomial (x+""^(2n+1)C_(0))(X+""^(2n+1)C_(1)) (x+""^(2n+1)C_(2))……(X+""^(2n+1)C_(n)) is

The coefficient of x^(n) in the polynomial (x+""^(2n+1)C_(0))(X+""^(2n+1)C_(1)) (x+""^(2n+1)C_(2))……(X+""^(2n+1)C_(n)) is

Find the coefficient of x^(n) in the polynomial (x+^(n)C_(0))(x+3^(n)C_(1))xx(x+5^(n)C_(2))...[x+(2n+1)^(n)C_(n)]

Find the coefficient of x^(-5) in ""^(n)C_(0)-""^(n)C_(1) ((2x-1)/(x))+""^(n)C_(2)((2x-1)/(x))^(2)-....+ (-1)^(n) ((2x-1)/(x))^(n)

Find the coefficient of x^(n-r) in the expansion of (x+1)^n (1+x)^n . Deduce that C_0C_r+C_1C_(r-1)+......+C_(n-r) C_n= ((2n!))/((n+r)!(n-r)!) .

If C_(n) is the coefficient of x^(n) in the expansion of (1+x)^(n) then C_(1)+2. C_(2)+3. C_(3)+..+n. C_(n)

If C_0,C_1,C_2..C_n denote the coefficients in the binomial expansion of (1 +x)^n , then C_0 + 2.C_1 +3.C_2+. (n+1) C_n