In the expansion of `(1+x+x^3+x^4)^10,` the coefficient of `x^4` is `^40 C_4` b. `^10 C_4` c. `210` d. `310`

In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 144 b. 288 c. 216 d. 576

In the expansion of [(1+x)//(1-x)]^2, the coefficient of x^n will be 4n b. 4n-3 c. 4n+1 d. none of these

The coefficient of x^4 in the expansion of {sqrt(1+x^2)-x}^(-1) in ascending powers of x , when |x|<1,i s 0 b. 1/2 c. -1/2 d. -1/8

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. 30 C_6 d. ^30 C_3

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

The coefficient of x^(4) in the expansion of (1 + x + x^(2))^(3) is

The coefficient of x^(4) in the expansion of (x/2-3/x^(2))^(10) is

The coefficient of x^(7) in the expansion of (1-x-x^(3)+x^(4))^(8) is equal to