The coefficient of `x^9` in the expansion of `(1+x)(1+x^2)(1+x^3)...(1+x^(100))` is

Find the coefficient of x in the expansion of (1-3x+7x^(2))(1-x)^(16)

Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(11)

Find the coefficient of x^6 y^3 in the expansion of (x+2y)^9 .

The largest coefficient in the expansion of (1+x)^(30) is ………

The coefficient of x in expansion of (x^(2)+a/x)^(5) is ……….

The coefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)...(x-n) is

If A and B are coefficient of x^(n) in the expansions of (1+x)^(2n) and (1+x)^(2n-1) respectively , then A/B equals to

Find the coefficient of 1/(x^(17)) in the expansion (x^(4)-1/(x^(3)))^(15)

If the coefficient of x^(7) in the expansion of (ax^(2) +1/(bx))^(11) is equal to the coefficient of x^(-7) in the expansion of (ax- 1/(bx^(2)))^(11) are equal then prove that ab = 1 .

The coefficient of x^(m) and x^n in the expansion of (1+x)^(m+n) are ...........