" The coefficent of "z^(1244)" in the expansion of "(x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)......(x+49)^(49)(x-50)^(50)" is "

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

Find the Co-efficient of x^(4) in the expansion of (1+x^(3))^(50)(x^(2)+1/x)^(5) .

The coefficient of x^(49) in the expansion of (x-1)(x-(1)/(2))(x-(1)/(2^(2)))......*(x+(1)/(2^(49))) is equal to

Let , m be the the smallest positive interger such that the coefficient of x^(2) in the expansion of (1+x)^(2)+(1+x)^(3)+....+(1+x)^(49)+(1+mx)^(50) " is " (3n+1)^(51)C_(3) for some positive integer n . Then the value of n is ,

The coefficient of x^(5) in the expansion of (1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+(x^(5))/(5!))^(2) is

The coefficient of x^49 in the expansion of (x-1)(x-1/2)(x-1/2^2)........(x-1/2^49) is equal to