Coefficient of `x^((n^2+n-14)/2)` in, `(x-1)(x^2-2)(x^3-3)(x^4- 4).........(x^n-n),(n>=8)` is

Coefficient of x^(n-2) in the product (x+1)(x+2)(x+3).........(x+n) is equal to

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

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

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

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

The coefficient of x^(n) in (1-(x)/(1!)+(x^(2))/(2!)-(x^(3))/(3!)+...+((-1)^(n)x^(n))/(n!))^(2) is equal to

Find the coefficient of x^n in (1+x/(1!)+(x^2)/(2!)++(x^n)/(n !))^2 .

Statement 1: The coefficient of x^(n) is (1+x+(x^(2))/(2!)+(x^(3))/(3!)+...+(x^(n))/(n!))^(3) is (3^(n))/(n!) Statement 2: The coefficient of x^(n)ine^(3x)is(3^(n))/(n!)

Coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+...oo)^(2) is