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

The coefficient of x^r[0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2+.... +(x+2)^(n-1) is a.^n C_r(3^r-2^n) b.^n C_r(3^(n-r)-2^(n-r)) c.^n C_r(3^r+2^(n-r)) d. none of these

The coefficient of x^r[0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2+.... +(x+2)^(n-1) is a.^n C_r(3^r-2^n) b.^n C_r(3^(n-r)-2^(n-r)) c.^n C_r(3^r+2^(n-r)) d. none of these

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

The coefficient of x^n in the expansion (2x+3)^n-(2x+3)^(n-1)(5-2x)+(2x+3)^(n-2)(5-2x)^2+…..

What is the coefficient of x^(n-2) in the expansion of (1+x)^(2n) ?

The coefficient of x^r[0lt=rlt=(n-1)] in lthe expansion of (x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2++(x+2)^(n-1) is ^n C_r(3^r-2^n) b. ^n C_r(3^(n-r)-2^(n-r)) c. ^n C_r(3^r+2^(n-r)) d. none of these

The coefficient of x^r [0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2+.... +(x+2)^(n-1) is a.^n C_r(3^r-2^n) b.^n C_r(3^(n-r)-2^(n-r)) c. ^n C_r(3^r+2^(n-r)) d. none of these

The coefficient of x^(n) in the expansion of ((1+x)^(2))/((1 - x)^(3)) , is

The coefficient of x^(n) in the expansion of ((1+x)^(2))/((1 - x)^(3)) , is