Home
Class 11
MATHS
[" (A) "^(4/C(5))],[" 35.Find the coeffi...

[" (A) "^(4/C_(5))],[" 35.Find the coefficient of "x^(50)" in the expression: "(1+x)^(1200)+2x'(1+x)^(999)+3x^(2)(1+x)^(998)+......+1001x^(1000)],[" 36.Prove that "nC+n-1(n+n-2C" ."]

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)^(999)+3x^(2)(1+x)^(998)+...+1001x^(1000)

Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)+....+1001 x^(1000) .

Find the coefficient of x^50 in the expression : (1 + x)^1000 + 2x(1 + x)^999 + 3x^2 (1 + x)^998 + ... + 1001 x^1000 .

Find the coefficients of x^(50) in the expression (1+x)^(1000)+x(1+x)^(999)+x^2(1+x)^(998)+...+1001 x^(1000) .

Find the coefficient of x^(r) in the following expression : (x+n)^(n)+(x+2)^(n-1)(x+1)+(x+2)^(n-2)(x+1)^(2)+.....+(x+1)^(n)

Find the coefficient of x^(50) after simplifying and collecting the like terms in the expansion of (1+x)^(1000)+x(1+x)^(999)+x^(2)(1+x)^(998)+...+x^(1000)