The coefficient of `x^n` in `(1+x)^(101)(1-x+x^2)^(100)` is nonzero, then `n` cannot be of the form `3r+1` b. `3r` c. `3r+2` d. none of these

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

The coefficient of x^n in (1+x)^(101)(1-x+x^2)^(100) is non zero, then n cannot be of the form a. 3r+1 b. 3r c. 3r+2 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

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 a_(r) is the coefficient of x^(r) in (1-2x+3x^(2))^(n), then sum_(r=0)^(2n)r*a_(r)=

Sum of coefficients of x^(2r) , r = 1,2,3…. in (1+x)^n is

Sum of coefficients of x^(2r) , r = 1,2,3…. in (1+x)^n is

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(11) is where ({:(n),(r):}) = nC_(r)

If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansion of (1 + x)^(2n) are equal then n =