If the co-efficient of `x^100` in `1+(1+x)+(1+x)^2..........+(1+x)^n ` is `201 C_(101)` then n equals

If the co-fficient of x^(100) in 1+(1+x)+(1+x)^(2).........+(1+x)^(n) is 201C_(101) then n equals

If the coefficient of x^100 isn 1+(1+x)+1+x)^2+(1+x)^3+………+(1+x)^n , (n.-100) is ^201C_101 then n= (A) 100 (B) 200 (C) 101 (D) none of these

If the coefficient of x^100 is in 1+(1+x)+(1+x)^2+(1+x)^3+………+(1+x)^n , (n >= 100) is ^201C_101 then n (A) 100 (B) 200 (C) 101 (D) none of these

The coefficient of x^(n) in (1+x)^(101) (1-x+x^(2))^(100) is

The co-efficient of x^(n) in (1+x+2x^(2)+3x^(3)+...+nx^(n))^(2) is

The co-efficient of xx^(n-2) in (x-1)(x-2)(x-3)(x-n) is :

The co-efficient of x^(k)(0<=k<=n) in the expansion of E=1+(1+x)+(1+x)^(2)+....+(1+x)^(n)

The coefficient of x^n in (1+x)^(101)(1-x+x^2)^(100) is non zero, then n cannot be of the form