The coefficient of `x^4` in `(x//2-3//x^2)^10` is `(405)/(256)` b. `(504)/(259)` c. `(450)/(263)` d. none of these

Coefficient of x^(-4) in ((3)/(2)-(3)/(x^(2)))^(10) is

Show that the coefficient of x^(4) in the expansion of (x/2-3/x^(2))^(10) "is" 405/256.

The coefficient of x^(6) in series e^(2x) is (4)/(25) b.(3)/(45) c.(2)/(45) d.None of these

The coefficient of x^(10) in the expansion of (1-2x+3x^(2)-4x^(3)+...oo)^(2) is

The sum of the coefficients in (1+x+3x^2)^2143 is (A) 2^2143 (B) 0 (C) 1 (D) -1

The coefficient of x^(5)in(1+2x+3x^(2)+...)^(-3/2)is(|x|<1)21 b.25c.26d .none of these

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^(2))...(x-2^(19)) is 2^(20)-2^(19) b.1-2^(20) c.2^(20) d.none of these

The coefficient of x^(8)y^(10) in the expansion of (x+y)^(18) is ^(18)C_(8) b.^(18)P_(10) c.2^(18) d.none of these